Chapter 17 Intercorporate Equity Investments
《公司理财》课后答案(英文版,第六版).doc
Chapter 2: Accounting Statements and Cash Flow2.10AssetsCurrent assetsCash $ 4,000Accounts receivable 8,000Total current assets $ 12,000Fixed assetsMachinery $ 34,000Patents 82,000Total fixed assets $116,000Total assets $128,000Liabilities and equityCurrent liabilitiesAccounts payable $ 6,000Taxes payable 2,000Total current liabilities $ 8,000Long-term liabilitiesBonds payable $7,000Stockholders equityCommon stock ($100 par) $ 88,000Capital surplus 19,000Retained earnings 6,000Total stockholders equity $113,000Total liabilities and equity $128,0002.11One year ago TodayLong-term debt $50,000,000 $50,000,000Preferred stock 30,000,000 30,000,000Common stock 100,000,000 110,000,000Retained earnings 20,000,000 22,000,000Total $200,000,000 $212,000,0002.12Total Cash Flow ofthe Stancil CompanyCash flows from the firmCapital spending $(1,000)Additions to working capital (4,000)Total $(5,000)Cash flows to investors of the firmShort-term debt $(6,000)Long-term debt (20,000)Equity (Dividend - Financing) 21,000Total $(5,000)[Note: This table isn’t the Statement of Cash Flows, which is only covered in Appendix 2B, since the latter has th e change in cash (on the balance sheet) as a final entry.]2.13 a. The changes in net working capital can be computed from:Sources of net working capitalNet income $100Depreciation 50Increases in long-term debt 75Total sources $225Uses of net working capitalDividends $50Increases in fixed assets* 150Total uses $200Additions to net working capital $25*Includes $50 of depreciation.b.Cash flow from the firmOperating cash flow $150Capital spending (150)Additions to net working capital (25)Total $(25)Cash flow to the investorsDebt $(75)Equity 50Total $(25)Chapter 3: Financial Markets and Net Present Value: First Principles of Finance (Advanced)3.14 $120,000 - ($150,000 - $100,000) (1.1) = $65,0003.15 $40,000 + ($50,000 - $20,000) (1.12) = $73,6003.16 a. ($7 million + $3 million) (1.10) = $11.0 millionb.i. They could spend $10 million by borrowing $5 million today.ii. They will have to spend $5.5 million [= $11 million - ($5 million x 1.1)] at t=1.Chapter 4: Net Present Valuea. $1,000 ⨯ 1.0510 = $1,628.89b. $1,000 ⨯ 1.0710 = $1,967.15c. $1,000 ⨯ 1.0520 = $2,653.30d. Interest compounds on the interest already earned. Therefore, the interest earned inSince this bond has no interim coupon payments, its present value is simply the present value of the $1,000 that will be received in 25 years. Note: As will be discussed in the next chapter, the present value of the payments associated with a bond is the price of that bond.PV = $1,000 /1.125 = $92.30PV = $1,500,000 / 1.0827 = $187,780.23a. At a discount rate of zero, the future value and present value are always the same. Remember, FV =PV (1 + r) t. If r = 0, then the formula reduces to FV = PV. Therefore, the values of the options are $10,000 and $20,000, respectively. You should choose the second option.b. Option one: $10,000 / 1.1 = $9,090.91Option two: $20,000 / 1.15 = $12,418.43Choose the second option.c. Option one: $10,000 / 1.2 = $8,333.33Option two: $20,000 / 1.25 = $8,037.55Choose the first option.d. You are indifferent at the rate that equates the PVs of the two alternatives. You know that rate mustfall between 10% and 20% because the option you would choose differs at these rates. Let r be thediscount rate that makes you indifferent between the options.$10,000 / (1 + r) = $20,000 / (1 + r)5(1 + r)4 = $20,000 / $10,000 = 21 + r = 1.18921r = 0.18921 = 18.921%The $1,000 that you place in the account at the end of the first year will earn interest for six years. The $1,000 that you place in the account at the end of the second year will earn interest for five years, etc. Thus, the account will have a balance of$1,000 (1.12)6 + $1,000 (1.12)5 + $1,000 (1.12)4 + $1,000 (1.12)3= $6,714.61PV = $5,000,000 / 1.1210 = $1,609,866.18a. $1.000 (1.08)3 = $1,259.71b. $1,000 [1 + (0.08 / 2)]2 ⨯ 3 = $1,000 (1.04)6 = $1,265.32c. $1,000 [1 + (0.08 / 12)]12 ⨯ 3 = $1,000 (1.00667)36 = $1,270.24d. $1,000 e0.08 ⨯ 3 = $1,271.25e. The future value increases because of the compounding. The account is earning interest on interest. Essentially, the interest is added to the account balance at the e nd of every compounding period. During the next period, the account earns interest on the new balance. When the compounding period shortens, the balance that earns interest is rising faster.The price of the consol bond is the present value of the coupon payments. Apply the perpetuity formula to find the present value. PV = $120 / 0.15 = $800a. $1,000 / 0.1 = $10,000b. $500 / 0.1 = $5,000 is the value one year from now of the perpetual stream. Thus, the value of theperpetuity is $5,000 / 1.1 = $4,545.45.c. $2,420 / 0.1 = $24,200 is the value two years from now of the perpetual stream. Thus, the value of the perpetuity is $24,200 / 1.12 = $20,000.pply the NPV technique. Since the inflows are an annuity you can use the present value of an annuity factor.ANPV = -$6,200 + $1,200 81.0= -$6,200 + $1,200 (5.3349)= $201.88Yes, you should buy the asset.Use an annuity factor to compute the value two years from today of the twenty payments. Remember, the annuity formula gives you the value of the stream one year before the first payment. Hence, the annuity factor will give you the value at the end of year two of the stream of payments.A= $2,000 (9.8181)Value at the end of year two = $2,000 20.008= $19,636.20The present value is simply that amount discounted back two years.PV = $19,636.20 / 1.082 = $16,834.88The easiest way to do this problem is to use the annuity factor. The annuity factor must be equal to $12,800 / $2,000 = 6.4; remember PV =C A T r. The annuity factors are in the appendix to the text. To use the factor table to solve this problem, scan across the row labeled 10 years until you find 6.4. It is close to the factor for 9%, 6.4177. Thus, the rate you will receive on this note is slightly more than 9%.You can find a more precise answer by interpolating between nine and ten percent.[ 10% ⎤[6.1446 ⎤a ⎡r ⎥bc ⎡6.4 ⎪ d⎣9%⎦⎣6.4177 ⎦By interpolating, you are presuming that the ratio of a to b is equal to the ratio of c to d.(9 - r ) / (9 - 10) = (6.4177 - 6.4 ) / (6.4177 - 6.1446)r = 9.0648%The exact value could be obtained by solving the annuity formula for the interest rate. Sophisticated calculators can compute the rate directly as 9.0626%.[Note: A standard financial calculator’s TVM keys can solve for this rate. With annuity flows, the IRR key on “advanced” financial c alculators is unnecessary.]a. The annuity amount can be computed by first calculating the PV of the $25,000 which youThat amount is $17,824.65 [= $25,000 / 1.075]. Next compute the annuity which has the same present value.A$17,824.65 = C 507.0$17,824.65 = C (4.1002)C = $4,347.26Thus, putting $4,347.26 into the 7% account each year will provide $25,000 five years from today.b. The lump sum payment must be the present value of the $25,000, i.e., $25,000 / 1.075 =$17,824.65The formula for future value of any annuity can be used to solve the problem (see footnote 11 of the text).Option one: This cash flow is an annuity due. To value it, you must use the after-tax amounts. Theafter-tax payment is $160,000 (1 - 0.28) = $115,200. Value all except the first payment using the standard annuity formula, then add back the first payment of $115,200 to obtain the value of this option.AValue = $115,200 + $115,200 30.010= $115,200 + $115,200 (9.4269)= $1,201,178.88Option two: This option is valued similarly. You are able to have $446,000 now; this is already on an after-tax basis. You will receive an annuity of $101,055 for each of the next thirty years. Those payments are taxable when you receive them, so your after-tax payment is $72,759.60 [= $101,055 (1 - 0.28)].AValue = $446,000 + $72,759.60 30.010= $446,000 + $72,759.60 (9.4269)= $1,131,897.47Since option one has a higher PV, you should choose it.et r be the rate of interest you must earn.$10,000(1 + r)12 = $80,000(1 + r)12= 8r = 0.18921 = 18.921%First compute the present value of all the payments you must make for your children’s educati on. The value as of one year before matriculation of one child’s education isA= $21,000 (2.8550) = $59,955.$21,000 415.0This is the value of the elder child’s education fourteen years from now. It is the value of the younger child’s education sixteen years from today. The present value of these isPV = $59,955 / 1.1514 + $59,955 / 1.1516= $14,880.44You want to make fifteen equal payments into an account that yields 15% so that the present value of the equal payments is $14,880.44.A= $14,880.44 / 5.8474 = $2,544.80Payment = $14,880.44 / 15.015This problem applies the growing annuity formula. The first payment is$50,000(1.04)2(0.02) = $1,081.60.PV = $1,081.60 [1 / (0.08 - 0.04) - {1 / (0.08 - 0.04)}{1.04 / 1.08}40]= $21,064.28This is the present value of the payments, so the value forty years from today is$21,064.28 (1.0840) = $457,611.46se the discount factors to discount the individual cash flows. Then compute the NPV of the project. NoticeYou can still use the factor tables to compute their PV. Essentially, they form cash flows that are a six year annuity less a two year annuity. Thus, the appropriate annuity factor to use with them is 2.6198 (= 4.3553 - 1.7355).Year Cash Flow Factor PV0.9091 $636.371$70020.8264 743.769003 1,000 ⎤4 1,000 ⎥ 2.6198 2,619.805 1,000 ⎥6 1,000 ⎦7 1,250 0.5132 641.508 1,375 0.4665 641.44Total $5,282.87NPV = -$5,000 + $5,282.87= $282.87Purchase the machine.Chapter 5: How to Value Bonds and StocksThe amount of the semi-annual interest payment is $40 (=$1,000 ⨯ 0.08 / 2). There are a total of 40 periods;i.e., two half years in each of the twenty years in the term to maturity. The annuity factor tables can be usedto price these bonds. The appropriate discount rate to use is the semi-annual rate. That rate is simply the annual rate divided by two. Thus, for part b the rate to be used is 5% and for part c is it 3%.A+F/(1+r)40PV=C Tra. $40 (19.7928) + $1,000 / 1.0440 = $1,000Notice that whenever the coupon rate and the market rate are the same, the bond is priced at par.b. $40 (17.1591) + $1,000 / 1.0540 = $828.41Notice that whenever the coupon rate is below the market rate, the bond is priced below par.c. $40 (23.1148) + $1,000 / 1.0340 = $1,231.15Notice that whenever the coupon rate is above the market rate, the bond is priced above par.a. The semi-annual interest rate is $60 / $1,000 = 0.06. Thus, the effective annual rate is 1.062 - 1 =0.1236 = 12.36%.A+ $1,000 / 1.0612b. Price = $30 12.006= $748.48A+ $1,000 / 1.0412c. Price = $30 1204.0= $906.15Note: In parts b and c we are implicitly assuming that the yield curve is flat. That is, the yield in year 5applies for year 6 as well.rice = $2 (0.72) / 1.15 + $4 (0.72) / 1.152 + $50 / 1.153= $36.31The number of shares you own = $100,000 / $36.31 = 2,754 sharesPrice = $1.15 (1.18) / 1.12 + $1.15 (1.182) / 1.122 + $1.152 (1.182) / 1.123+ {$1.152 (1.182)(1.06) / (0.12 - 0.06)} / 1.123= $26.95[Insert before last sentence of question: Assume that dividends are a fixed proportion of earnings.] Dividend one year from now = $5 (1 - 0.10) = $4.50Price = $5 + $4.50 / {0.14 - (-0.10)}= $23.75Since the current $5 dividend has not yet been paid, it is still included in the stock price.Chapter 6: Some Alternative Investment Rulesa. Payback period of Project A = 1 + ($7,500 - $4,000) / $3,500 = 2 yearsPayback period of Project B = 2 + ($5,000 - $2,500 -$1,200) / $3,000 = 2.43 yearsProject A should be chosen.b. NPV A = -$7,500 + $4,000 / 1.15 + $3,500 / 1.152 + $1,500 / 1.153 = -$388.96NPV B = -$5,000 + $2,500 / 1.15 + $1,200 / 1.152 + $3,000 / 1.153 = $53.83Project B should be chosen.a. Average Investment:($16,000 + $12,000 + $8,000 + $4,000 + 0) / 5 = $8,000Average accounting return:$4,500 / $8,000 = 0.5625 = 56.25%b. 1. AAR does not consider the timing of the cash flows, hence it does not consider the timevalue of money.2. AAR uses an arbitrary firm standard as the decision rule.3. AAR uses accounting data rather than net cash flows.aAverage Investment = (8000 + 4000 + 1500 + 0)/4 = 3375.00Average Net Income = 2000(1-0.75) = 1500=> AAR = 1500/3375=44.44%a. Solve x by trial and error:-$8,000 + $4,000 / (1 + x) + $3000 / (1 + x)2 + $2,000 / (1 + x)3 = 0x = 6.93%b. No, since the IRR (6.93%) is less than the discount rate of 8%.Alternatively, the NPV @ a discount rate of 0.08 = -$136.62.a. Solve r in the equation:$5,000 - $2,500 / (1 + r) - $2,000 / (1 + r)2 - $1,000 / (1 + r)3- $1,000 / (1 + r)4 = 0By trial and error,IRR = r = 13.99%b. Since this problem is the case of financing, accept the project if the IRR is less than the required rate of return.IRR = 13.99% > 10%Reject the offer.c. IRR = 13.99% < 20%Accept the offer.d. When r = 10%:NPV = $5,000 - $2,500 / 1.1 - $2,000 / 1.12 - $1,000 / 1.13 - $1,000 / 1.14When r = 20%:NPV = $5,000 - $2,500 / 1.2 - $2,000 / 1.22 - $1,000 / 1.23 - $1,000 / 1.24= $466.82Yes, they are consistent with the choices of the IRR rule since the signs of the cash flows change only once.A/ $160,000 = 1.04PI = $40,000 715.0Since the PI exceeds one accept the project.Chapter 7: Net Present Value and Capital BudgetingSince there is uncertainty surrounding the bonus payments, which McRae might receive, you must use the expected value of McRae’s bonuses in the computation of the PV of his contract. McRae’s salary plus the expected value of his bonuses in years one through three is$250,000 + 0.6 ⨯ $75,000 + 0.4 ⨯ $0 = $295,000.Thus the total PV of his three-year contract isPV = $400,000 + $295,000 [(1 - 1 / 1.12363) / 0.1236]+ {$125,000 / 1.12363} [(1 - 1 / 1.123610 / 0.1236]= $1,594,825.68EPS = $800,000 / 200,000 = $4NPVGO = (-$400,000 + $1,000,000) / 200,000 = $3Price = EPS / r + NPVGO= $4 / 0.12 + $3=$36.33Year 0 Year 1 Year 2 Year 3 Year 4 Year 51. Annual Salary$120,000 $120,000 $120,000 $120,000 $120,000 Savings2. Depreciation 100,000 160,000 96,000 57,600 57,6003. Taxable Income 20,000 -40,000 24,000 62,400 62,4004. Taxes 6,800 -13,600 8,160 21,216 21,2165. Operating Cash Flow113,200 133,600 111,840 98,784 98,784 (line 1-4)$100,000 -100,0006. ∆ Net workingcapital7. Investment $500,000 75,792*8. Total Cash Flow -$400,000 $113,200 $133,600 $111,840 $98,784 $74,576*75,792 = $100,000 - 0.34 ($100,000 - $28,800)NPV = -$400,000+ $113,200 / 1.12 + $133,600 / 1.122 + $111,840 / 1.123+ $98,784 / 1.124 + $74,576 / 1.125= -$7,722.52Real interest rate = (1.15 / 1.04) - 1 = 10.58%NPV A = -$40,000+ $20,000 / 1.1058 + $15,000 / 1.10582 + $15,000 / 1.10583= $1,446.76NPV B = -$50,000+ $10,000 / 1.15 + $20,000 / 1.152 + $40,000 / 1.153= $119.17Choose project A.PV = $120,000 / {0.11 - (-0.06)}t = 0 t = 1 t = 2 t = 3 t = 4 t = 5 t = 6 ...$12,000 $6,000 $6,000 $6,000$4,000$12,000 $6,000 $6,000 ...The present value of one cycle is:A+ $4,000 / 1.064PV = $12,000 + $6,000 306.0= $12,000 + $6,000 (2.6730) + $4,000 / 1.064= $31,206.37The cycle is four years long, so use a four year annuity factor to compute the equivalent annual cost (EAC).AEAC = $31,206.37 / 406.0= $31,206.37 / 3.4651= $9,006The present value of such a stream in perpetuity is$9,006 / 0.06 = $150,100o evaluate the word processors, compute their equivalent annual costs (EAC).BangAPV(costs) = (10 ⨯ $8,000) + (10 ⨯ $2,000) 414.0= $80,000 + $20,000 (2.9137)= $138,274EAC = $138,274 / 2.9137= $47,456IOUAPV(costs) = (11 ⨯ $5,000) + (11 ⨯ $2,500) 3.014- (11 ⨯ $500) / 1.143= $55,000 + $27,500 (2.3216) - $5,500 / 1.143= $115,132EAC = $115,132 / 2.3216= $49,592BYO should purchase the Bang word processors.Chapter 8: Strategy and Analysis in Using Net Present ValueThe accounting break-even= (120,000 + 20,000) / (1,500 - 1,100)= 350 units. The accounting break-even= 340,000 / (2.00 - 0.72)= 265,625 abalonesb. [($2.00 ⨯ 300,000) - (340,000 + 0.72 ⨯ 300,000)] (0.65)= $28,600This is the after tax profit.Chapter 9: Capital Market Theory: An Overviewa. Capital gains = $38 - $37 = $1 per shareb. Total dollar returns = Dividends + Capital Gains = $1,000 + ($1*500) = $1,500 On a per share basis, this calculation is $2 + $1 = $3 per sharec. On a per share basis, $3/$37 = 0.0811 = 8.11% On a total dollar basis, $1,500/(500*$37) = 0.0811 = 8.11%d. No, you do not need to sell the shares to include the capital gains in the computation of the returns. The capital gain is included whether or not you realize the gain. Since you could realize the gain if you choose, you should include it.The expected holding period return is:()[]%865.1515865.052$/52$75.54$50.5$==-+There appears to be a lack of clarity about the meaning of holding period returns. The method used in the answer to this question is the one used in Section 9.1. However, the correspondence is not exact, because in this question, unlike Section 9.1, there are cash flows within the holding period. The answer above ignores the dividend paid in the first year. Although the answer above technically conforms to the eqn at the bottom of Fig. 9.2, the presence of intermediate cash flows that aren’t accounted for renders th is measure questionable, at best. There is no similar example in the body of the text, and I have never seen holding period returns calculated in this way before.Although not discussed in this book, there are two generally accepted methods of computing holding period returns in the presence of intermediate cash flows. First, the time weighted return calculates averages (geometric or arithmetic) of returns between cash flows. Unfortunately, that method can’t be used here, because we are not given the va lue of the stock at the end of year one. Second, the dollar weighted measure calculates the internal rate of return over the entire holding period. Theoretically, that method can be applied here, as follows: 0 = -52 + 5.50/(1+r) + 60.25/(1+r)2 => r = 0.1306.This produces a two year holding period return of (1.1306)2 – 1 = 0.2782. Unfortunately, this book does not teach the dollar weighted method.In order to salvage this question in a financially meaningful way, you would need the value of the stock at the end of one year. Then an illustration of the correct use of the time-weighted return would be appropriate. A complicating factor is that, while Section 9.2 illustrates the holding period return using the geometric return for historical data, the arithmetic return is more appropriate for expected future returns.E(R) = T-Bill rate + Average Excess Return = 6.2% + (13.0% -3.8%) = 15.4%. Common Treasury Realized Stocks Bills Risk Premium -7 32.4% 11.2% 21.2%-6 -4.9 14.7 -19.6-5 21.4 10.5 10.9 -4 22.5 8.8 13.7 -3 6.3 9.9 -3.6 -2 32.2 7.7 24.5 Last 18.5 6.2 12.3 b. The average risk premium is 8.49%.49.873.125.246.37.139.106.192.21=++-++- c. Yes, it is possible for the observed risk premium to be negative. This can happen in any single year. The.b.Standard deviation = 03311.0001096.0=.b.Standard deviation = = 0.03137 = 3.137%.b.Chapter 10: Return and Risk: The Capital-Asset-Pricing Model (CAPM)a. = 0.1 (– 4.5%) + 0.2 (4.4%) + 0.5 (12.0%) + 0.2 (20.7%) = 10.57%b.σ2 = 0.1 (–0.045 – 0.1057)2 + 0.2 (0.044 – 0.1057)2 + 0.5 (0.12 – 0.1057)2+ 0.2 (0.207 – 0.1057)2 = 0.0052σ = (0.0052)1/2 = 0.072 = 7.20%Holdings of Atlas stock = 120 ⨯ $50 = $6,000 ⨯ $20 = $3,000Weight of Atlas stock = $6,000 / $9,000 = 2 / 3Weight of Babcock stock = $3,000 / $9,000 = 1 / 3a. = 0.3 (0.12) + 0.7 (0.18) = 0.162 = 16.2%σP 2= 0.32 (0.09)2 + 0.72 (0.25)2 + 2 (0.3) (0.7) (0.09) (0.25) (0.2)= 0.033244σP= (0.033244)1/2 = 0.1823 = 18.23%a.State Return on A Return on B Probability1 15% 35% 0.4 ⨯ 0.5 = 0.22 15% -5% 0.4 ⨯ 0.5 = 0.23 10% 35% 0.6 ⨯ 0.5 = 0.34 10% -5% 0.6 ⨯ 0.5 = 0.3b. = 0.2 [0.5 (0.15) + 0.5 (0.35)] + 0.2[0.5 (0.15) + 0.5 (-0.05)]+ 0.3 [0.5 (0.10) + 0.5 (0.35)] + 0.3 [0.5 (0.10) + 0.5 (-0.05)]= 0.135= 13.5%Note: The solution to this problem requires calculus.Specifically, the solution is found by minimizing a function subject to a constraint. Calculus ability is not necessary to understand the principles behind a minimum variance portfolio.Min { X A2 σA2 + X B2σB2+ 2 X A X B Cov(R A , R B)}subject to X A + X B = 1Let X A = 1 - X B. Then,Min {(1 - X B)2σA2 + X B2σB2+ 2(1 - X B) X B Cov (R A, R B)}Take a derivative with respect to X B.d{∙} / dX B = (2 X B - 2) σA2+ 2 X B σB2 + 2 Cov(R A, R B) - 4 X B Cov(R A, R B)Set the derivative equal to zero, cancel the common 2 and solve for X B.X BσA2- σA2+ X B σB2 + Cov(R A, R B) - 2 X B Cov(R A, R B) = 0X B = {σA2 - Cov(R A, R B)} / {σA2+ σB2 - 2 Cov(R A, R B)}andX A = {σB2 - Cov(R A, R B)} / {σA2+ σB2 - 2 Cov(R A, R B)}Using the data from the problem yields,X A = 0.8125 andX B = 0.1875.a. Using the weights calculated above, the expected return on the minimum variance portfolio isE(R P) = 0.8125 E(R A) + 0.1875 E(R B)= 0.8125 (5%) + 0.1875 (10%)= 5.9375%b. Using the formula derived above, the weights areX A = 2 / 3 andX B = 1 / 3c. The variance of this portfolio is zero.σP 2= X A2 σA2 + X B2σB2+ 2 X A X B Cov(R A , R B)= (4 / 9) (0.01) + (1 / 9) (0.04) + 2 (2 / 3) (1 / 3) (-0.02)= 0This demonstrates that assets can be combined to form a risk-free portfolio.14.2%= 3.7%+β(7.5%) ⇒β = 1.40.25 = R f + 1.4 [R M– R f] (I)0.14 = R f + 0.7 [R M– R f] (II)(I) – (II)=0.11 = 0.7 [R M– R f] (III)[R M– R f ]= 0.1571Put (III) into (I) 0.25 = R f + 1.4[0.1571]R f = 3%[R M– R f ]= 0.1571R M = 0.1571 + 0.03= 18.71%a. = 4.9% + βi (9.4%)βD= Cov(R D, R M) / σM 2 = 0.0635 / 0.04326 = 1.468= 4.9 + 1.468 (9.4) = 18.70%Weights:X A = 5 / 30 = 0.1667X B = 10 / 30 = 0.3333X C = 8 / 30 = 0.2667X D = 1 - X A - X B - X C = 0.2333Beta of portfolio= 0.1667 (0.75) + 0.3333 (1.10) + 0.2667 (1.36) + 0.2333 (1.88)= 1.293= 4 + 1.293 (15 - 4) = 18.22%a. (i) βA= ρA,MσA / σMρA,M= βA σM / σA= (0.9) (0.10) / 0.12= 0.75(ii) σB= βB σM / ρB,M= (1.10) (0.10) / 0.40= 0.275(iii) βC= ρC,MσC / σM= (0.75) (0.24) / 0.10= 1.80(iv) ρM,M= 1(v) βM= 1(vi) σf= 0(vii) ρf,M= 0(viii) βf= 0b. SML:E(R i) = R f + βi {E(R M) - R f}= 0.05 + (0.10) βiSecurity βi E(R i)A 0.13 0.90 0.14B 0.16 1.10 0.16C 0.25 1.80 0.23Security A performed worse than the market, while security C performed better than the market.Security B is fairly priced.c. According to the SML, security A is overpriced while security C is under-priced. Thus, you could invest in security C while sell security A (if you currently hold it).a. The typical risk-averse investor seeks high returns and low risks. To assess thetwo stocks, find theReturns:State of economy ProbabilityReturn on A*Recession 0.1 -0.20 Normal 0.8 0.10 Expansion0.10.20* Since security A pays no dividend, the return on A is simply (P 1 / P 0) - 1. = 0.1 (-0.20) + 0.8 (0.10) + 0.1 (0.20) = 0.08 = 0.09 This was given in the problem.Risk:R A - (R A -)2 P ⨯ (R A -)2 -0.28 0.0784 0.00784 0.02 0.0004 0.00032 0.12 0.0144 0.00144 Variance 0.00960Standard deviation (R A ) = 0.0980βA = {Corr(R A , R M ) σ(R A )} / σ(R M ) = 0.8 (0.0980) / 0.10= 0.784βB = {Corr(R B , R M ) σ(R B )} / σ(R M ) = 0.2 (0.12) / 0.10= 0.24The return on stock B is higher than the return on stock A. The risk of stock B, as measured by itsbeta, is lower than the risk of A. Thus, a typical risk-averse investor will prefer stock B.b. = (0.7) + (0.3) = (0.7) (0.8) + (0.3) (0.09) = 0.083σP 2= 0.72 σA 2 + 0.32 σB 2 + 2 (0.7) (0.3) Corr (R A , R B ) σA σB = (0.49) (0.0096) + (0.09) (0.0144) + (0.42) (0.6) (0.0980) (0.12) = 0.0089635 σP = = 0.0947 c. The beta of a portfolio is the weighted average of the betas of the components of the portfolio. βP = (0.7) βA + (0.3) βB = (0.7) (0.784) + (0.3) (0.240) = 0.621Chapter 11:An Alternative View of Risk and Return: The Arbitrage Pricing Theorya. Stock A:()()R R R R R A A A m m Am A=+-+=+-+βεε105%12142%...Stock B:()()R R R R R B B m m Bm B=+-+=+-+βεε130%098142%...Stock C:()R R R R R C C C m m Cm C=+-+=+-+βεε157%137142%)..(.b.()[]()[]()[]()()()()()()[]()()CB A m cB A m c m B m A m CB A P 25.045.030.0%2.14R 1435.1%925.1225.045.030.0%2.14R 37.125.098.045.02.130.0%7.1525.0%1345.0%5.1030.0%2.14R 37.1%7.1525.0%2.14R 98.0%0.1345.0%2.14R 2.1%5.1030.0R 25.0R 45.0R 30.0R ε+ε+ε+-+=ε+ε+ε+-+++++=ε+-++ε+-++ε+-+=++= c.i.()R R R A B C =+-==+-==+-=105%1215%142%)1113%09815%142%)137%157%13715%142%168%..(..46%.(......ii.R P =+-=12925%1143515%142%)138398%..(..To determine which investment investor would prefer, you must compute the variance of portfolios created bymany stocks from either market. Note, because you know that diversification is good, it is reasonable to assume that once an investor chose the market in which he or she will invest, he or she will buy many stocks in that market.Known:E EF ====001002 and and for all i.i σσεε..Assume: The weight of each stock is 1/N; that is, X N i =1/for all i.If a portfolio is composed of N stocks each forming 1/N proportion of the portfolio, the return on the portfolio is 1/N times the sum of the returns on the N stocks. Recall that the return on each stock is 0.1+βF+ε.()()()()()()[]()()()()()()()[]()[]()[]()()[]()()()()()j i 2j i 22j i i 2222222222P P P P iP ,0.04Corr 0.01,Cov s =isvariance the ,N as limit In the ,Cov 1/N 1s 1/N s )(1/N 1/N F 2F E 1/N F E 0.10.1/N F 0.1E R E R E R Var 0.101/N 00.1E 1/N F E 0.11/N F 0.1E R E 1/N F 0.1F 0.1(1/N)R 1/N R εε+β=εε+β∞⇒εε-+ε+β=ε∑+εβ+β=ε+β=-ε+β+=-==+β+=ε+β+=ε∑+β+=ε+β+=ε+β+==∑∑∑∑∑∑∑∑()()()()()()Thus,F R f E R E R Var R Corr Var R Corr ii ip P p i j PijR 1i =++=++===+=+010*********002250040002500412212111222.........,,εεεεεεa.()()()()Corr Corr Var R Var R i j i j p pεεεε112212000225000225,,..====Since Var ()()R p 1 Var R 2p 〉, a risk averse investor will prefer to invest in the second market.b. Corr ()()εεεε112090i j j ,.,== and Corr 2i()()Var R Var R pp120058500025==..。
F9-chapter 17
225Chapter 1717. Business ValuationChapter GuideG1. Nature and purpose of the valuation of business and financial assets a) Identify and discuss reasons for valuing businesses and financial assets. b) Identify information requirements for valuation and discuss the limitationsof different types of informationG2. Models for the valuation of shares a) Asset-based valuation models, including: i. Net book value (balance sheet basis) ii. Net realizable value basis iii. Net replacement cost basisb) Income-based valuation models, including: i. Price/ earnings ratio method ii. Earnings yield methodc) Cash flow-based valuation models, including:i. Dividend valuation model and the dividend growth model. ii. Discounted cash flow basis.G3. The valuation of debt and other financial assets Apply appropriate valuation methods to: i. Irredeemable Debt, ii. Redeemable Debt, iii. Convertible Debt iv. Preference Shares.226Chapter overview227There are number of different ways of putting a value on a business, or on shares in an unquoted company. It is important for the buyer to use several methods of valuation, ant to compare the values they produce.Here are some major valuation methods: ✓ Cash flow based valuation ✓ Income based valuation ✓ Asset based valuation ✓ Market capitallisationIf a business is difficult to sell, its owners may be prepared to accept a minimum bid that matched the value that they get from liquidation. There are 2 ways of assessing this:2.1 Different Valuesa) Balance sheet value - but the book value of assets will differ from theirmarket valueb) Realisable value - better, but more difficult to calculate.2.2 Advantages and Disadvantages of Asset based valuation1.Reasons for business valuations2.Asset valuation bases228Lecture example 1The summary statement of financial position of Tiger Plc is as follows.Non-current assts $ $ $ Land and buildings 160,000 Plant and machinery 80,000 Motor vehicle 20,000 260,000 Goodwill 20,000 Current assets Inventory 80,000 Receivables 60,000 Short-term investments 15,000Cash5,000 160,000 Current liabilities Payables 60,000 Taxation 20,000 Proposed ordinary dividend 20,000 (100,000) 60,000 340,000 12% bonds (60,000) Deferred taxation (10,000) 270,000 Ordinary share of $1 80,000 Reserves 140,000 220,000 4.9% preference shares if $1 50,000 270,000RequiredWhat is the value per ordinary share using the net assets basis of valuation?229As a measure of the ' security ' in a share value2.3 Circumstances of using Net asset based measuree.g. if the company went into liquidation, the investor could not expect to receive the full value of his shares when the underlying assets were realised.As a measure of comparison in a scheme of mergerA merger is essentially a business combination of two or more companies, of which none obtains control over any other.For example, if company A, which has a low asset backing, is planning a merger with company B, which has a high asset backing, the shareholders of B might consider that their shares value ought to reflect this. If might therefore be agreed that a something should be added to the value of the company B shares to allow for this difference in asset backing.As a ' floor value ' for a business that is up for sale-shareholders will bereluctant to sell for less than the NAV. However, if the sale is essential for cash flow purposes or to realign with corporate strategy, even the asset value may not be realised.For these reasons, it is always advisable to calculate the net assets per share.3.1 Price earning valuation (P/E)Market valuation / capitalisation = P/E ratio x Earnings per share or P/E ratio x total earningsP/E may need adjustments due to different business risks3.2 Advantages and Disadvantages of P/E valuation 3. Earning/ Income bases230(a) There are good reasons to believe that earnings growth will be achieved. 3.3 Use of forecast earningsWhen one company is thinking about taking over another, it should look at the target company’s forecast earnings, not just its historical results. Forecasts of earnings growth should only be used if:(b) Areasonable estimate of growth can be made.(c) Forecasts supplied by the target company’s directors are made in goodfaith and using reasonable assumptions and fair accounting policies.share per price Market EPS=yield Earnings 3.4Earnings yield valuationyield Earnings Earnings =ue Market valWe can incorporate earnings growth into this method in the same way as the growth model that we will discuss in later sections. Market value )()1(g EY g Earnings −+×=231Lecture Example 2A company has the following results.20×1 20×2 20×3 20×4$m $m $m $mProfit after tax6.0 6.2 6.3 6.3The company's earnings yield is 12%.RequiredCalculate the value of the company based on the present value of expected earnings.Cash flow based valuation models include Dividend valuation model,The dividend growth model and The discounted cash flow basis.KeDKe D Ke D Ke D =++++++....3)1(2)1(14.1 Dividend valuation modelThe dividend valuation model is based on the theory that an equilibrium price for any share (pr bond) on a stock market is the future expected stream of income from the security discounted at a suitable cost of capital. Equilibrium market price is thus a present value of a future expected income stream. The annual income stream for a share is the expected dividend every year in perpetuity.The basic dividend-based formula for the market value of shares is expressed in the dividend valuation model as follows: MV (ex div) =Where Do=Current year's dividendg=Growth rate in earnings and dividends Do (1+g)=Expected dividend in one year's time(D1) K e =Shareholder's required rate of return4. Cash flow based232gK g D P e −+=)1(004.2 Dividend growth valuation model Value per shareWhereD 0= dividend paid nowK e = cost of equity of the target g = growth rate in dividendsP o =Market value excluding any dividend currently payable.Disadvantages of dividend valuation model✓ It is difficult to estimating future dividend growth✓ It is inaccurate to assume that growth will be constant ✓ It creates zero values for zero dividend companies.✓ It creates negative values for high growth companies, if g >KeLecture example 3Target paid a dividend of $250,000 this year. The current return to shareholders of companies in the same industry as Target is 12%, although it is expected that an additional risk premium of 2% will be applicable to Target, being a smaller and unquote company.Compute the expected valuation of Target, if:a) The current level of dividend is expected to continue into the foreseeablefuture, orb) The dividend is expected to grow at a rate of 4% pa into the foreseeablefuturec) The dividend is expected to grow at a 3% rate for three years and 2%afterwards.233Lecture example 4Hawk Plc. wishes to make a bid for Pigeon Ltd. Pigeon makes after-tax profits of $40,000 a year. Hawk believes that if further money is spent on additional investments, the after-tax cash flows (ignoring the purchase consideration) could be as follows.Year Cash flow (net of tax) $ 0 (100,000) 1 (80,000) 2 60,000 3 100,000 4 150,000 5 150,000The after-tax cost of capital of Hawk plc is 15% and the company expects all its investments to pay back, in discounted terms, within five years. What is the maximum price that the company should be willing to pay for the shares of Tadpole?Discounted cash flow techniques can be used to value irredeemable debt, redeemable debt, convertible debt and preference shares, which covered in prior chapters (chapter 15)Valuation of other securities234Lecture example 5The directors of Carmen, a large conglomerate, are considering the acquisition of the entire share capital of Manon, which manufactures a range of engineering machinery. Neither company has any long-term debt capital. The directors of Carmen believe that if Manon is taken over, the business risk of Carmen will not be affected.The accounting reference date of Manon is 31 July. Its balance sheet as on 31 July 20x4 is expected to be as follows $ $ Non-current assets (net of depreciation) 651,600 Current assets: inventory and work in progress 515,900 receivables 745,000bank balances 158,1001,419,000 2,070,600 Current liabilities: payables 753,600 bank overdraft 862,900 1,616,500 Capital and reserves: issued ordinary shares of $1 each50,000 distributable reserves 404,100 2,070,600Manon’s summarized financial record for the five years to 31 July 20X4 is as follows.Year ended 31 July 20X0 20X1 20X2 20X320X4(estimated ) Profit before non recurring items 30,400 69,000 49,400 48,200 53,200Non recurringitems2,900 (2,200) (6,100) (9,800) (1,000)Profit after nonrecurring items 33,300 66,800 43,300 38,400 52,200Less dividends 20,500 22,600 25,000 25,000 25,000 Added toreserves 12,800 44,200 18,300 13,400 27,200235The following additional information is available:1) There have been no changes in the issued share capital of Manon duringthe past five years2) The estimated values of Manon’s non-current assets and inventory andwork in progress as on 31 July 20X4 are as follows. Replacement cost $ Realizable value$Non-current assets 725,000 450,000 Inventory and work in progress 550,000 570,0003) It is expected that 2% of Manon’s receivables at 31 July 20X4 will beuncollectable.4) The cost of capital of Carmen plc is 9%. The directors of Manon estimatethat the shareholders of Manon require a minimum return of 12% per annum from their investment in the company5) The current P/E ratio of Carmen is 12. Quoted companies with businessactivities and profitability similar to those of Manon have P/E ratios of approximately 10, although these companies tend to be much larger than Manon.Required(a) Estimate the value of the total equity (i.e. market capitalization) of Manonas on 31 July 20X4 using each of the following bases: (i) Balance sheet value(ii) Replacement cost of the assets (iii) Realizable value of the assets (iv) The dividend valuation model (v) The P/E ratio model(13 marks)(b) Explain the role and limitations of each of the above five valuation bases inthe process by which a price might be agreed for the purchase by Carmen of the total equity capital of Manon(6 marks)(c) State and justify briefly the approximate range within which the purchaseprice is likely to be agreed(6 marks)(Total = 25 marks)Ignore taxation236Chapter summary237Answer to lecture example 1Asset Value:= €62.8m – debt of 33.1 = €29.7mLack of the information about the industry, the nature of the assets or any intangible values.Solution to lecture example 2 Market value )()1(g EY g Earnings −+×=Earnings =$6.3m EY =12% g =%64.10164.010.63.63or =− Market value 0164.012.00164.13.6−×==$61.81mAnswer to lecture example 3Ke=12%+2%=14%(0.14) Do=$250,000 g(in (b))=4% or 0.04714,758,1$14.0000,250$===Ke Do Po000,600,2$04.014.0)04.1(000,250$)1(=−=−+=g Ke g Do PoTime1 2 3 4onwards Dividend ($000)258266274279 Annuity to infinity (g Ke −1) 8,333 Present value at Year 3 2,325 Discount factor @ 14% 0.877 0.769 0.675 0.6752262051851,569Total $2,185,000Answer to lecture examples238Lecture example 4The maximum price is one which would make the return from the total investment exactly 15% over five years, so that the NPV at 15% would be 0.Year Cash flow Discount factor Present value$ 15% $ 0 (100,000) 1.000 (100,000) 1 (80,000) 0.870 (69,600) 2 60,000 0.756 45,360 3 100,000 0.658 65,800 4 150,000 0.572 85,800 5 150,000 0.497 74,550Maximum purchase price 101,910Lecture example 5 (a)(i) Balance sheet value =$454,100.(ii) Replacement cost value =$454,100 + $(725,000 – 651,600) + $(550,000-515,900) = $561,600(iii) Realizable value = $454,100 + $(450,000 – 651,600) + (570,000 – 515,900)- $14,900 =$291,700Bad debts are 2% x $745,000 = $14,900. Bad debts are assumed not to be relevant to balance sheet and replacement cost values(iv) The dividend growth model value depends non-current an estimated ofgrowth, which is far from dear given the wide variations in earnings over the five years.1. The lowest possible value, assuming zero growth, is as follows.Value ex div =$25,0000.12= $208,333It is not likely that this will be the basis taken.2. Looking at dividend growth over the past five years we have:20X4 dividend = $25,000 20X0 dividend = $20,500If the annual growth rate in dividends is g(1+g)4 =(25,000)20,500=1.21952391+g =1.0508g = 0.0508, say 5.1%Then, MV ex div =Dividend in 1 year 0.12−g= 25,000 (1.051)0.069= $380,7973. Using the rb model, we have: Average proportion remained= 12,800+44,200+18,300+13,400+27,200+52,200=0.495 ≈0.5 Return on investment this year =53,200average investment=53,200(454,100+(454,100−27,200))/2= 0.1208 (say r =12%)Then g = 0.5 x 12%=6% So MV ex div =$25,000 (1.06)0.06 = $441,667(v) P/E ratio modelComparable quoted companies to Manon have P/E ratios of about 10. Manon is much smaller and being unquoted its P/E ratio would be less than 10, but how much less?If we take a P/E ratio of 5, we have MV = $53,200 x 5 =$266,000If we take a P/E ratio of 10 x 2/3, we have MV = $53,200 x 10 x2/3 =$354,667If we take a P/E ratio of 10, we have MV = $53,200 x 5 =$532,000 (b)(i) The balance sheet valueThe balance sheet value should not play a part in the negotiation process. Historical costs are not relevant to a decision on the future value of the company(ii) The replacement costThis gives the cost of setting up a similar business. Since this gives a higher figure then any other valuation in this case, it could show the240 maximum price for Carmon to offer. There is clearly no goodwill to value(iii) The realizable valueThis shows the cash which the shareholders in Manon could get by liquidating the business. It is therefore the minimum price which they would accept.All the method (i) to (ii) suffer from the limitation that they do not look at the going concern value of the business as a whole.Methods (iv) and (v) do consider this value. However, the realizable value is of use in assessing the risk attached to the business as a going concern, as it gives the base value if things go wrong and the business has to be abandoned.(iv) The dividend modelThe figures have been calculated using Manon’s K e(12%). If (2) or (3) were followed, the value would be the minimum that Manon’s shareholders would accept, as the value in use exceeds scrap value in (iii). The relevance of a dividend valuation to Carmen will depend on whether the current retention and reinvestment policies would be continued. Certainly the value to Carmen should be based on 9% rather than 12%. Both companies are ungeared and in the same risk class so the different required returns must be due to their relative sizes and the fact that Carmen’s shares are not more marketable.One of the main limitations on the dividend growth model is the problem of estimating the future value of g.(v) The P/E ratio modelThe P/E ratio model is an attempt to get at the value which the market would put on a company like Manon. It does provide an external yardstick, but is a very crude measure. As already stated, the P/E ratio which applies to larger quoted companies must be lowered to allow for the size of Manon and the non-marketability of its shares. Another limitation of P/E ratios is that the ratio is very dependent on the expected future growth of the firm. It is therefore not easy to find a P/E ratio of a ‘similar firm’. However, in practice the P/E model may well feature in the negotiations over price simply because it is an easily understood yardstick.(c) The range within which the purchase price is likely to be agreed will be theminimum price which the shareholders of Manon will accept and the maximum price which the directors of Carmen will pay.The minimum price which the shareholders of Manon will accept will be the241realizable value of the assets, £291,700. The maximum price Carmen will pay is the earnings basis using a P/E of 10 at £532,000.The dividend basis gives a value of about 5% gives a value of £380,797. This looks optimistic given the lack of dividend growth over the last couple of years.So the eventual purchase price will probably be in the range £291,700 and £375,000.。
Private Equity in China. Challenges and Opportunities
BrochureMore information from /reports/2112831/Private Equity in China. Challenges and OpportunitiesDescription:Learn valuable lessons from the newly successful private equity players in China and explore the challenges and opportunities offered in Chinese marketsThe first book to deal with private equity finance in China, Private Equity in China: Challenges andOpportunities provides much-needed guidance on an investment concept that has so far provedelusive in Asia. Focusing on the opportunities that the Chinese finance market offers to privateequity firms, the book shows how these firms can strategically position themselves in order tomaximize success in this new marketplace.Private Equity in China includes in-depth case studies illustrating both successful and failedventures by private equity firms operating in China, outlining the challenges faced by private equityfirms in setting up new funds. It contains a collection of valuable experience and insights aboutacquiring companies and turning them around essential for any firm currently operating in, orconsidering entering, the Chinese market.- Discusses the challenges faced by private equity firms in China including setting up the initialfund, fund raising, deal sourcing, deal execution, and monitoring and exit strategies- Provides key insights drawn from keen observations and knowledge of the more mature privateequity market in Western countries, analyzing the way forward for the Chinese private equityindustry- Discusses the role of renminbi-denominated funds in the development of the private equityindustry in ChinaBreaking new ground in exploring and explaining the private equity market in China, the bookoffers incredible new insight into how equity companies can thrive in the Chinese marketplace.Contents:Preface xiiiAcknowledgments xviiCHAPTER 1 Private Equity: An Introduction 1Overview 1Stages of Development of a Company 2Differences between Private Equity and Venture Capital 5Differences between Private Equity Investments and Corporate Mergers and Acquisitions 6Inventis Private Equity Model 8Structure of a Private Equity Fund 11General Partners 11Limited Partners 12Investment Committee/Advisors 12Professionals 12Private Equity Investment Process 13Planning, Fund-Raising, and Deal Sourcing 14Due Diligence 16Deal Structuring 18Portfolio Management 21Exit Strategies 24CHAPTER 2 Overview of the Political, Macroeconomic, and Financial Landscape in China 33 Overview 33Regulatory Environment 35Chinese Government Agencies and Their Relevance to Private Equity 37China’s Macroeconomic Conditions and Trends 45Macroeconomic Condition 1: Inflation 48Macroeconomic Condition 2: Widening Income Disparity 49Macroeconomic Condition 3: Accelerated Aging Population Structure 50Macroeconomic Trend 1: Increasing Urbanization 51Macroeconomic Trend 2: Westward Shift in Industrialization and Development 53 Macroeconomic Trend 3: Strong Growth in Domestic Consumption 54Macroeconomic Trend 4: Shift Toward Value-Added Industries 56China’s Financial Markets 57Key Phases of Developments in China’s Capital Markets 58China’s Equity Markets 62Foreign Listings on Chinese Exchanges 65China’s Credit Market 67Trust Financing 72China’s Futures Markets: Commodity Exchanges and Derivatives Exchanges 73Summary 75CHAPTER 3 Private Equity in China 77Overview 77Key Market Trends and Developments 79Private Minority Placement Quadrant 81Private Majority Placement Quadrant 82PIPE Minority Deals Quadrant 83Private Equity Funds in China 97Foreign-Owned Private Equity Funds (FOPE) 97Chinese-Owned Private Equity Funds (COPE) 99State-Owned Industrial Private Equity Funds (SOPE) 100Hybrid Foreign/Chinese USD and RMB Private Equity Fund (HOPE) 101Private Equity Investment Structures in China 102Red Chip Structure or Round-Trip Investment 102Onshore Structures 108Leveraged Buyouts 112Valuation Adjustment Mechanism 114VAM in China’s Private Equity Industry 114Financial Measures 116Non-Financial Redemption Measures and Stock Offerings 117Stock Offering: Expiration of VAM Agreement 119Challenges of VAM 121Exit Strategies for Private Equity Investment in China 121Initial Public Offerings 122Initial Public Offerings in Domestic Markets 125Initial Public Offerings in Overseas Markets 129Trade Sales 130Secondary Sales 130Leveraged Recapitalization/Distribution of Dividend 131Benefits of Private Equity for China 132The Case for Demutualization of Chinese Stock Exchanges through Private Equity Investments 136 CHAPTER 4 Renminbi Private Equity Fund 137Overview 137Setting Up and Fund-Raising in China 138Investing in China 142Exit Options for the RMB Fund 143The Renminbi Private Equity Fund 144Types of RMB Funds 145Domestic Limited Partners 149Private Equity Regulations and Incentives 159RMB Funds’ Edge in Investing in China 160Challenges and Opportunities for FOPE-RMB Funds 161The Future of Domestic Limited Partners 162Qualifi ed Foreign Limited Partnership Pilot Program 163Management of Hybrid Funds 166Onshore Legal Structures of RMB Funds 171Restrictions for Foreign-Invested Partnerships (FIPs) 175Treatment of FOPE-RMB Funds: Domestic or Foreign? 176Exit Options for RMB Funds 177Domestic Listings on Chinese Stock Exchanges 178Private Equity Secondary Markets in China 179China’s Domestic Limited Partners 180Impacts of RMB Convertibility on RMB Private Equity Funds 181RMB Private Equity Outbound Investments 182CHAPTER 5 Investment Opportunities for Private Equity in China 187 Overview 187Foreign Acquisition and National Security Review 189China’s Five-Year Plan for National Economic and Social Development 191 China’s Seven Emerging Strategic Industries 195Energy Saving and Environmental Protection 199Renewable Energy 205Alternative Energy Vehicles 210Next Generation Information Technology 213High-End Equipment Manufacturing 215Biotechnology 217New Materials 221Investment Opportunities in China’s Energy Sector 224Key Energy Security Concerns 224Strategies to Tackle China’s Energy Challenges 227Trends in the Oil and Gas Sector in China 230Relationship between the Energy Firms and the Government 233CHAPTER 6 Challenges and the Future of Private Equity in China 235Overview 235Fund-Raising 236Deal Sourcing 238Good Deals Are Getting Scarce, Valuations Becoming Too High 239FOPE Funds Are Competing with COPE Funds in Deal Sourcing 239Moving West 240Consolidation Opportunities 240Seeking Uniqueness from Other Funding Sources 241Due Diligence 242Reliability of Financial Statements 243Intellectual Property Rights 245Deal Structuring 247Portfolio Management 250Change from Boss Culture to Management Culture 251Communication and Timely Information 251Resistance to Change 252Fighting for Control 253Exit 255Valuation Obstacles 256China’s Private Equity Secondary Sales Market Is in the Nascent Stage 257Foreign Exchange Controls and RMB Convertibility 258Avoiding the Restriction or Seeking Local Government’s Aid 258Gradual Loosening of Capital Inflows, Especially for Private Equity 259Capital Outflows Are Strict, But Less Stringent than Inflows 259The RMB Fund Advantage—Artificial and Temporary? 260Media Reports and Public Perception 262Guanxi Management 264One Party to Gain Positive Career Prospects, the Other to Gain Justice Support 265Private Equity Firms Do Not Invest in Green Fields, So No Need to Build Complicated Relationships 266The Company Shareholders and Management Team Already Have Guanxi for Running the Business266Private Equity Firms Can Engage an External Consulting or Public Relations Firm 266FOPE-RMB Funds 268COPE-USD Funds 269Leveraged Buyouts 270Private Equity Professionals in China 271Trend 1: From Foreign to Domestic Private Equity 273Trend 2: From Investment Banks to Private Equity 274Trend 3: From Traditional Industries to Private Equity 275Trend 4: From Entrepreneurs to GPs and LPs 275Conclusion 276APPENDIX A Government Structure of the People’s Republic of China 281APPENDIX B Key Points in a Private Placement Memorandum 287APPENDIX C Geography of China 289APPENDIX D Selected Private Equity Funds in Greater China 293About the Author 299IndexOrdering:Order Online - /reports/2112831/Order by Fax - using the form belowOrder by Post - print the order form below and send toResearch and Markets,Guinness Centre,Taylors Lane,Dublin 8,Ireland.Fax Order FormTo place an order via fax simply print this form, fill in the information below and fax the completed form to 646-607-1907 (from USA) or +353-1-481-1716 (from Rest of World). 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Business Studies 02
Percentage
100 100 96 94 94 89 85 75 73 62 61 54
Chapter 2 - 12
Balancing Business and Stakeholders’ Rights
Business Investors
Maximize Profits
© Prentice Hall, 2005
Provide Jobs and Pay Taxes
Business In Action 3e
Balance Profits and Social Issues
Chapter 2 - 11
Percentage of Executives Who “Strongly Agree” or “Agree” That Companies Should:
Practicing Ethical Behavior and Social Responsibility
© Prentice Hall, 2005
Business In Action 3e
Chapter 2 - 1
Two Important Concepts
Social Responsibility
The Right to Safe Products The Right to Be Informed The Right to Choose The Right to Be Heard
© Prentice Hall, 2005 Business In Action 3e Chapter 2 - 18
•Be environmentally responsible •Be ethical in operations •Earn profits •Employ local residents •Pay taxes •Encourage and support employee volunteering •Contribute money and leadership to charities •Be involved in economic development •Be involved in public education •Involve community representatives in business decisions •Target a portion of purchasing toward local vendors •Help improve quality of life for low-income populations
财务管理 CHAPTER 模板
CHAPTER 8Stock Valuation II. CONCEPTSVALUATION OF ZERO GROWTH STOCKc 26. The James River Co. pays an annual dividend of $1.50 per share on its common stock.This dividend amount has been constant for the past 15 years and is expected to remainconstant. Given this, one share of James River Co. stock:a. is basically worthless as it offers no growth potential.b. has a market value equal to the present value of $1.50 paid one year from today.c. is valued as if the dividend paid is a perpetuity.d. is valued with an assumed growth rate of 3 percent.e. has a market value of $15.00.VALUATION OF ZERO GROWTH STOCKe 27. The common stock of the Kenwith Co. pays a constant annual dividend. Thus, themarket price of Kenwith stock will:a. also remain constant.b. increase over time.c. decrease over time.d. increase when the market rate of return increases.e. decrease when the market rate of return increases.DIVIDEND YIELD VS. CAPITAL GAINS YIELDc 28. The Koster Co. currently pays an annual dividend of $1.00 and plans on increasingthat amount by 5 percent each year. The Keyser Co. currently pays an annualdividend of $1.00 and plans on increasing their dividend by 3 percent annually.Given this, it can be stated with certainty that the _____ of the Koster Co. stock isgreater than the _____ of the Keyser Co. stock.a. market price; market priceb. dividend yield; dividend yieldc. rate of capital gain; rate of capital gaind. total return; total returne. capital gains; dividend yieldDIVIDEND GROWTH MODELd 29. The dividend growth model:I. assumes that dividends increase at a constant rate forever.II. can be used to compute a stock price at any point of time.III. states that the market price of a stock is only affected by the amount of the dividend.IV. considers capital gains but ignores the dividend yield.a. I onlyb. II onlyc. IIIand IV onlyd. I and II onlye. I, II, and III onlyDIVIDEND GROWTH MODELb 30. The underlying assumption of the dividend growth model is that a stock is worth:a. the same amount to every investor regardless of their desired rate of return.b. the present value of the future income which the stock generates.c. an amount computed as the next annual dividend divided by the market rate ofreturn.d. the same amount as any other stock that pays the same current dividend and has thesame required rate of return.e. an amount computed as the next annual dividend divided by the required rate ofreturn.DIVIDEND GROWTH MODELc 31. Assume that you are using the dividend growth model to value stocks. If you expectthe market rate of return to increase across the board on all equity securities, thenyou should also expect the:a. market values of all stocks to increase, all else constant.b. market values of all stocks to remain constant as the dividend growth will offset theincrease in the market rate.c. market values of all stocks to decrease, all else constant.d. stocks that do not pay dividends to decrease in price while the dividend-payingstocks maintain a constant price.e. dividend growth rates to increase to offset this change.NONCONSTANT GROWTHc 32. Latcher’s Inc. is a relatively new firm that is still in a period of rapid development. Thecompany plans on retaining all of its earnings for the next six years. Seven years fromnow, the company projects paying an annual dividend of $.25 a share and thenincreasing that amount by 3 percent annually thereafter. To value this stock as oftoday, you would most likely determine the value of the stock _____ years fromtoday before determining today’s value.a. 4b. 5c. 6d. 7e. 8NONCONSTANT GROWTHd 33. The Robert Phillips Co. currently pays no dividend. The company is anticipatingdividends of $0, $0, $0, $.10, $.20, and $.30 over the next 6 years, respectively. Afterthat, the company anticipates increasing the dividend by 4 percent annually. The firststep in computing the value of this stock today, is to compute the value of the stock inyear:a. 3.b. 4.c. 5.d. 6.e. 7.SUPERNORMAL GROWTHb 34. Supernormal growth refers to a firm that increases its dividend by:a. three or more percent per year.b. a rate which is most likely not sustainable over an extended period of time.c. a constant rate of 2 or more percent per year.d. $.10 or more per year.e. an amount in excess of $.10 a year.DIVIDEND YIELD AND CAPITAL GAINSe 35. The total rate of return earned on a stock is comprised of which two of thefollowingI. current yieldII. yield to maturityIII. dividend yieldIV. capital gains yielda. I and II onlyb. I and IV onlyc. II and III onlyd. II and IV onlye. IIIand IV onlyDIVIDEND YIELDc 36. The total rate of return on a stock can be positive even when the price of the stockdepreciates because of the:a. capital appreciation.b. interest yield.c. dividend yield.d. supernormal growth.e. real rate of return.DIVIDEND YIELD AND CAPITAL GAINSc 37. Fred Flintlock wants to earn a total of 10 percent on his investments. He recentlypurchased shares of ABC stock at a price of $20 a share. The stock pays a $1 a yeardividend. The price of ABC stock needs to _____ if Fred is to achieve his 10percent rate of return.a. remain constantb. decrease by 5 percentc. increase by 5 percentd. increase by 10 percente. increase by 15 percentDIVIDEND GROWTH MODELd 38. Which one of the following correctly defines the dividend growth modela. P0 = D0 (R-g)b. D = P0⨯ (R-g)c. R = (P0÷ D0) + gd. R = (D1÷ P0) + ge. P0 = (D1÷ R) + gSHAREHOLDER RIGHTSa 39. Shareholders generally have the right to:I. elect the corporate directors.II. select the senior management of the firm.III. elect the chief executive officer (CEO).IV. elect the chief operating officer (COO).a. I onlyb. I and III onlyc. II onlyd. I and II onlye. IIIand IV onlyCUMULATIVE VOTINGc 40. Jack owns 35 shares of stock in Beta, Inc. and wants to exercise as much control aspossible over the company. Beta, Inc. has a total of 100 shares of stock outstanding.Each share receives one vote. Presently, the company is voting to elect two newdirectors. Which one of the following statements must be true given thisinformationa. If straight voting applies, Jack is assured one seat on the board.b. If straight voting applies, Jack can control both open seats.c. If cumulative voting applies, Jack is assured one seat on the board.d. If cumulative voting applies, Jack can control both open seats.e. Regardless of the type of voting employed, Jack does not own enough shares tocontrol any of the seats.STRAIGHT VOTINGa 41. ABC Co. is owned by a group of shareholders who all vote independently and whoall want personal control over the firm. If straight voting is utilized, a shareholder:a. must either own enough shares to totally control the elections or else he/she has nocontrol whatsoever.b. will be able to elect at least one director as long as there are at least three openpositions and the shareholder owns at least 25 percent plus one of the outstandingshares.c. must own at least two-thirds of the shares, plus one, to exercise control over theelections.d. is only permitted to elect one director, regardless of the number of shares owned.e. who owns more shares than anyone else, regardless of the number of shares owned,will control the elections.PROXY VOTINGe 42. The Zilo Corp. has 1,000 shareholders and is preparing to elect three new boardmembers. You do not own enough shares to control the elections but aredetermined to oust the current leadership. The most likely result of this situation isa:a. negotiated settlement where you are granted control over one of the three openpositions.b. legal battle for control of the firm based on your discontent as an individualshareholder.c. arbitrated settlement whereby you are granted control over one of the three openpositions.d. total loss of power for you since you are a minority shareholder.e. proxy fight for control of the firm.SHAREHOLDER RIGHTSe 43. Common stock shareholders are generally granted rights which include the right to:I. share in company profits.II. vote for company directors.III. vote on proposed mergers.IV. residual assets in a liquidation.a. I and II onlyb. II and III onlyc. I and IV onlyd. I, II, and IV onlye. I, II, III, and IVDIVIDENDSe 44. The Scott Co. has a general dividend policy whereby they pay a constant annualdividend of $1 per share of common stock. The firm has 1,000 shares of stockoutstanding. The company:a. must always show a current liability of $1,000 for dividends payable.b. is obligated to continue paying $1 per share per year.c. will be declared in default and can face bankruptcy if they do not pay $1 per year toeach shareholder on a timely basis.d. has a liability which must be paid at a later date should the company miss paying anannual dividend payment.e. must still declare each dividend before it becomes an actual company liability.DIVIDENDSb 45. The dividends paid by a corporation:I. to an individual become taxable income of that individual.II. reduce the taxable income of the corporation.III. are declared by the chief financial officer of the corporation.IV. to another corporation may or may not represent taxable income to the recipient.a. I onlyb. I and IV onlyc. II and III onlyd. I, II, and IV onlye. I, III, and IV onlyPREFERRED STOCKa 46. The owner of preferred stock:a. is entitled to a distribution of income prior to the common shareholders.b. has the right to veto the outcome of an election held by the common shareholders.c. has the right to declare the company bankrupt whenever there are insufficient funds topay dividends to the common shareholders.d. receives tax-free dividends if they are an individual and own more than 20 percent ofthe outstanding preferred shares.e. has the right to collect payment on any unpaid dividends as long as the stock isnoncumulative preferred.PREFERRED STOCKb 47. A 6 percent preferred stock pays _____ a year in dividends per share.a. $3b. $6c. $12d. $30e. $60PREFERRED STOCKe 48. Which one of the following statements concerning preferred stock is correcta. Unpaid preferred dividends are a liability of the firm.b. Preferred dividends must be paid quarterly provided the firm has net income thatexceeds the amount of the quarterly dividend.c. Preferred dividends must be paid timely each quarter or the unpaid dividends startaccruing interest.d. All unpaid dividends on preferred stock, regardless of the type of preferred, must bepaid before any income can be distributed to common shareholders.e. Preferred shareholders may be granted voting rights and seats on the board ifpreferred dividend payments remain unpaid.PREFERRED STOCKe 49. In a liquidation, each share of 5 percent preferred stock is generally entitled to aliquidation payment of _____ as long as there are sufficient funds available.a. $1b. $5c. $10d. $50e. $100QUARTERLY INCOME PREFERRED SECURITIESb 50. Quarterly income preferred securities distribute payments to investors which are:I. taxed like interest income for tax purposes if the income recipient is an individual.II. excluded from the taxable income of any individual recipient.III. distributed from the after-tax income of the corporation.IV. tax deductible to the corporation.a. I and III onlyb. I and IV onlyc. II and III onlyd. II and IV onlye. II onlyPRIMARY MARKETd 51. Which one of the following transactions occurs in the primary marketa. the sale of ABC stock by Fred Jones to Mary Smithb. the tax-free gift of DEF stock to Heather by Jenniferc. the repurchase of GHI stock from Tim by GHId. the initial sale of JKL stock by JKL to Jamiee. the transfer of MNO stock from Tom to his son, JonDEALERS AND BROKERSd 52. Which one of the following statements concerning dealers and brokers is correcta. A dealer in market securities arranges sales between buyers and sellers for a fee.b. A dealer in market securities pays the asked price when purchasing securities.c. A broker in market securities earns income in the form of a bid-ask spread.d. A broker does not take ownership of the securities being traded.e. A broker deals solely in the primary market.NEW YORK STOCK EXHANGEa 53. Technically, the actual owners of the New York Stock Exchange are its:a. members.b. specialists.c. dealers.d. floor brokers.e. commission brokers.FLOOR BROKERSd 54. Which one of the following players on the floor of the New York Stock Exchange canbe likened to part-time help in that they are called to duty only when others are fullyemployeda. floor traderb. specialistc. dealerd. floor brokere. commission brokerSPECIALIST’S POSTb 55. The post is a stationary position on the floor of the New York Stock Exchangewhere a _____ is assigned to work.a. floor traderb. specialistc. dealerd. floor brokere. commission brokerSTOCK MARKET REPORTINGd 56. The closing price of a stock is quoted at 22.87, with a P/E of 26 and a net change of1.42. Based on this information, which one of the following statements is correcta. The closing price on the previous day was $1.42 higher than today’s closing price.b. A dealer will buy the stock at $22.87 and sell it at $26 a share.c. The stoc k increased in value between yesterday’s close and today’s close by$.0142.d. The earnings per share are equal to 1/26th of $22.87.e. The earnings per share have increased by $1.42 this year.STOCK QUOTEb 57. A stock listing contains the following information: P/E 17.5, closing price 33.10,dividend .80, YTD % chg 3.4, and a net chg of -.50. Which of the following statementsare correct given this informationI. The stock price has increased by 3.4 percent during the current year.II. The closing price on the previous trading day was $32.60.III. The earnings per share are approximately $1.89.IV. The current yield is 17.5 percent.a. I and II onlyb. I and III onlyc. II and III onlyd. IIIand IV onlye. I, III, and IV onlyIII. PROBLEMSSTOCK VALUEd 58. Michael’s, Inc. just paid $1.40 to their shareholders as the annual dividend.Simultaneously, the company announced that future dividends will be increasing by4.5 percent. If you require an 8 percent rate of return, how much are you willing topay to purchase one share of Michael’s stocka. $31.11b. $32.51c. $40.00d. $41.80e. $43.68STOCK VALUEe 59. Angelina’s made two announcements concerning their common stock today. First, thecompany announced that their next annual dividend has been set at $2.16 a share.Secondly, the company announced that all future dividends will increase by 4 percentannually. What is the maximum amount you should pay to purchase a share ofAngelina’s stock if your goal is to earn a 10 percent rate of returna. $21.60b. $22.46c. $27.44d. $34.62e. $36.00STOCK VALUEd 60. How much are you willing to pay for one share of stock if the company just paid an$.80 annual dividend, the dividends increase by 4 percent annually and you require an8 percent rate of returna. $19.23b. $20.00c. $20.40d. $20.80e. $21.63STOCK VALUEd 61. Lee Hong Imports paid a $1.00 per share annual dividend last week. Dividends areexpected to increase by 5 percent annually. What is one share of this stock worth toyou today if the appropriate discount rate is 14 percenta. $7.14b. $7.50c. $11.11d. $11.67e. $12.25STOCK VALUEc 62. Majestic Homes stock traditionally provides an 8 percent rate of return. The companyjust paid a $2 a year dividend which is expected to increase by 5 percent per year. Ifyou are planning on buying 1,000 shares of this stock next year, how much should youexpect to pay per share if the market rate of return for this type of security is 9 percentat the time of your purchasea. $48.60b. $52.50c. $55.13d. $57.89e. $70.00STOCK VALUEc 63. Leslie’s Unique Clothing Stores offers a common stock that pays an annual dividendof $2.00 a share. The company has promised to maintain a constant dividend. Howmuch are you willing to pay for one share of this stock if you want to earn 12 percentreturn on your equity investmentsa. $10.00b. $13.33c. $16.67d. $18.88e. $20.00STOCK VALUEb 64. Martin’s Yachts has paid annual dividends of $1.40, $1.75, and $2.00 a share over thepast three years, respectively. The company now predicts that it will maintain aconstant dividend since its business has leveled off and sales are expected to remainrelatively constant. Given the lack of future growth, you will only buy this stock if youcan earn at least a 15 percent rate of return. What is the maximum amount you arewilling to pay to buy one share of this stock todaya. $10.00b. $13.33c. $16.67d. $18.88e. $20.00REQUIRED RETURNc 65. The common stock of Eddie’s Engines, Inc. sells for $25.71 a share. The stock isexpected to pay $1.80 per share next month when the annual dividend is distributed.Eddie’s has established a pattern of increasing their div idends by 4 percent annuallyand expects to continue doing so. What is the market rate of return on this stocka. 7 percentb. 9 percentc. 11 percentd. 13 percente. 15 percentREQUIRED RETURNa 66. The current yield on Alpha’s common stock is 4.8 percent. The company just paid a$2.10 dividend. The rumor is that the dividend will be $2.205 next year. The dividendgrowth rate is expected to remain constant at the current level. What is the requiredrate of return on Alpha’s stocka. 10.04 percentb. 16.07 percentc. 21.88 percentd. 43.75 percente. 45.94 percentREQUIRED RETURNe 67. Martha’s Vineyardrecently paid a $3.60 annual dividend on their common stock. Thisdividend increases at an average rate of 3.5 percent per year. The stock is currentlyselling for $62.10 a share. What is the market rate of returna. 2.5 percentb. 3.5 percentc. 5.5 percentd. 6.0 percente. 9.5 percentREQUIRED RETURNd 68. Bet’R Bilt Bikes just announced that their annual dividend for this coming year will be$2.42 a share and that all future dividends are expected to increase by 2.5 percent annually. What is the market rate of return if this stock is currently selling for $22 asharea. 9.5 percentb. 11.0 percentc. 12.5 percentd. 13.5 percente. 15.0 percentDIVIDEND YIELD VS. CAPITAL GAINS YIELDb 69. Shares of common stock of the Samson Co. offer an expected total return of 12percent. The dividend is increasing at a constant 8 percent per year. The dividendyield must be:a. - 4 percent.b. 4 percent.c. 8 percent.d. 12 percent.e. 20 percent.CAPITAL GAINc 70. The common stock of Grady Co. returned an 11.25 percent rate of return last year.The dividend amount was $.70 a share which equated to a dividend yield of 1.5percent. What was the rate of price appreciation on the stocka. 1.50 percentb. 8.00 percentc. 9.75 percentd. 11.25 percente. 12.75 percentDIVIDEND AMOUNTb 71. Weisbro and Sons common stock sells for $21 a share and pays an annual dividendthat increases by 5 percent annually. The market rate of return on this stock is 9 percent. What is the amount of the last dividend paid by Weisbro and Sonsa. $.77b. $.80c. $.84d. $.87e. $.88DIVIDEND AMOUNTd 72. The common stock of Energizer’s pays an annual dividend that is expected to increaseby 10 percent annually. The stock commands a market rate of return of 12 percent andsells for $60.50 a share. What is the expected amount of the next dividend to be paidon Energizer’s common stocka. $.90b. $1.00c. $1.10d. $1.21e. $1.33d 73. The Reading Co. has adopted a policy of increasing the annual dividend on theircommon stock at a constant rate of 3 percent annually. The last dividend they paidwas $0.90 a share. What will their dividend be in six yearsa. $.90b. $.93c. $1.04d. $1.07e. $1.11e 74. A stock pays a constant annual dividend and sells for $31.11 a share. If the rate ofreturn on this stock is 9 percent, what is the dividend amounta. $1.40b. $1.80c. $2.20d. $2.40e. $2.80CONSTANT DIVIDENDb 75. You have decided that you would like to own some shares of GH Corp. but need anexpected 12 percent rate of return to compensate for the perceived risk of suchownership. What is the maximum you are willing to spend per share to buy GHstock if the company pays a constant $3.50 annual dividend per sharea. $26.04b. $29.17c. $32.67d. $34.29e. $36.59GROWTH DIVIDENDe 76. Turnips and Parsley common stock sells for $39.86 a share at a market rate of return of9.5 percent. The company just paid their annual dividend of $1.20. What is the rate ofgrowth of their dividenda. 5.2 percentb. 5.5 percentc. 5.9 percentd. 6.0 percente. 6.3 percentGROWTH DIVIDENDc 77. B&K Enterprises will pay an annual dividend of $2.08 a share on their common stocknext week. Last year, the company paid a dividend of $2.00 a share. The companyadheres to a constant rate of growth dividend policy. What will one share of B&Kcommon stock be worth ten years from now if the applicable discount rate is 8percenta. $71.16b. $74.01c. $76.97d. $80.05e. $83.25GROWTH DIVIDENDd 78. Wilbert’s Clothing Stores just paid a $1.20 annual dividend. The com pany has a policywhereby the dividend increases by 2.5 percent annually. You would like to purchase100 shares of stock in this firm but realize that you will not have the funds to do so foranother three years. If you desire a 10 percent rate of return, how much should youexpect to pay for 100 shares when you can afford to buy this stock Ignore tradingcosts.a. $1,640b. $1,681c. $1,723d. $1,766e. $1,810GROWTH DIVIDENDb 79. The Merriweather Co. just announced that they are increasing their annual dividend to$1.60 and establishing a policy whereby the dividend will increase by 3.5 percentannually thereafter. How much will one share of this stock be worth five years fromnow if the required rate of return is 12 percenta. $21.60b. $22.36c. $23.14d. $23.95e. $24.79GROWTH DIVIDENDb 80. Shares of the Katydid Co. common stock are currently selling for $27.73. The lastdividend paid was $1.60 per share. The market rate of return is 10 percent. At whatrate is the dividend growinga. 2.50 percentb. 4.00 percentc. 5.98 percentd. 13.05 percente. 14.91 percentSUPERNORMAL GROWTHc 81. The Bell Weather Co. is a new firm in a rapidly growing industry. The company isplanning on increasing its annual dividend by 20 percent a year for the next four yearsand then decreasing the growth rate to 5 percent per year. The company just paid itsannual dividend in the amount of $1.00 per share. What is the current value of oneshare of this stock if the required rate of return is 9.25 percenta. $35.63b. $38.19c. $41.05d. $43.19e. $45.81SUPERNORMAL GROWTHc 82. The Extreme Reaches Corp. last paid a $1.50 per share annual dividend. Thecompany is planning on paying $3.00, $5.00, $7.50, and $10.00 a share over the nextfour years, respectively. After that the dividend will be a constant $2.50 per share peryear. What is the market price of this stock if the market rate of return is 15 percenta. $17.04b. $22.39c. $26.57d. $29.08e. $33.71SUPERNORMAL GROWTHd 83. Can’t Hold Me Back, Inc. is preparing to pay their first dividends. They aregoing to pay $1.00, $2.50, and $5.00 a share over the next three years, respectively.After that, the company has stated that the annual dividend will be $1.25 per shareindefinitely. What is this stock worth to you per share if you demand a 7 percentrate of returna. $7.20b. $14.48c. $18.88d. $21.78e. $25.06NONCONSTANT DIVIDENDSc 84. NU YU announced today that they will begin paying annual dividends. The firstdividend will be paid next year in the amount of $.25 a share. The following dividendswill be $.40, $.60, and $.75 a share annually for the following three years, respectively.After that, dividends are projected to increase by 3.5 percent per year. How much areyou willing to pay to buy one share of this stock if your desired rate of return is 12 percenta. $1.45b. $5.80c. $7.25d. $9.06e. $10.58NONCONSTANT DIVIDENDSb 85. Now or Later, Inc. recently paid $1.10 as an annual dividend. Future dividends areprojected at $1.14, $1.18, $1.22, and $1.25 over the next four years, respectively.Beginning five years from now, the dividend is expected to increase by 2 percentannually. What is one share of this stock worth to you if you require an 8 percent rateof return on similar investmentsa. $15.62b. $19.57c. $21.21d. $23.33e. $25.98NONCONSTANT DIVIDENDSb 86. The Red Bud Co. pays a constant dividend of $1.20 a share. The company announcedtoday that they will continue to do this for another 3 years after which time they willdiscontinue paying dividends permanently. What is one share of this stock worth todayif the required rate of return is 7 percenta. $2.94b. $3.15c. $3.23d. $3.44e. $3.60NONCONSTANT DIVIDENDSb 87. Bill Bailey and Sons pays no dividend at the present time. The company plans to startpaying an annual dividend in the amount of $.30 a share for two years commencingtwo years from today. After that time, the company plans on paying a constant $1 ashare dividend indefinitely. How much are you willing to pay to buy a share of thisstock if your required return is 14 percenta. $4.82b. $5.25c. $5.39d. $5.46e. $5.58NONCONSTANT DIVIDENDSa 88. The Lighthouse Co. is in a downsizing mode. The company paid a $2.50 annualdividend last year. The company has announced plans to lower the dividend by $.50 ayear. Once the dividend amount becomes zero, the company will cease all dividendspermanently. You place a required rate of return of 16 percent on this particular stockgiven the company’s situation. What is one share of this stock worth to you todaya. $3.76b. $4.08c. $4.87d. $5.13e. $5.39NONCONSTANT DIVIDENDS。
公司理财第17章
Chapter 17: Valuation and Capital Budgeting for the Levered Firm CONCEPT QUESTIONS - CHAPTER 1717.1∙How is the APV method applied?APV is equal to the NPV of the project (i.e. the value of the project for anunlevered firm) plus the NPV of financing side effects.∙What additional information beyond NPV does one need to calculate A|PV?NPV of financing side effects (NPVF)>17.2 ∙How is the FTE Method applied?FTE calls for the discounting of the cash flows of a project to the equity holder at the cost of equity capital.∙What information is needed to calculate FTE?Levered cash flow and the cost of equity capital.17.3∙How is the WACC method applied?WACC calls for the discounting of unlevered cash flows of a project (UCF) at the weighted average cost of capital, WACC.17.4∙What is the main difference between AAPV and WACC?WACC is based upon a target debt rate and APV is based upon the level of debt.∙What is the main difference between the FTE approach and the two other approaches?FTE uses levered cash flow and other methods use unlevered cash flow.∙When should the APV method be used?When the level of debt is known in each future period.∙When should the FTE and WACC approaches be used?When the target debt ratio is known.Answers to End-of-Chapter Problems17.1 a. The maximum price that Hertz should be willing to pay for a fleet of cars with allequity funding is the price that makes the NPV of the fleet zero. Let I be the cost ofthe fleet. Then the NPV is simply the outflows (-I) plus the PV of the after-taxearnings plus the PV of the depreciation tax shield.⎥⎥⎥⎥⎦⎤⎢⎢⎢⎢⎣⎡-+⎥⎥⎥⎥⎦⎤⎢⎢⎢⎢⎣⎡--+-==0.06(1.06)11)(0.34)(I/50.10(1.10)11,000)0.34)($100(1I 0NPV 55I = $350,625.29b. APV = Base-case (B/C) NPV + NPV of the LoanBase-case NPV:There are two ways to determine the B/C NPV. One way is to compute it directly using the formula in part a and substituting $325,000 for I.Alternatively,NPV = 50.150.06$66,000A ](0.34/5)A I[1+-- Since, I = $325,000, NPV = $18,285.17NPV of the Loan:There are two ways to compute the NPV of the loan. You can compute the actual NPV of the loan, or you can compute the PV of the interest tax shield.Method One:NPV(Loan) = Amount borrowed - PV of the after-tax interest payment - PV of theprincipal1.08$200,0000.08(1.08)11))($200,0000.34)(0.08(1$200,000=55-⎥⎥⎥⎥⎦⎤⎢⎢⎢⎢⎣⎡--- = $21,720.34Method Two:PV(Tax Shield) = $21,720.340.08(1.08)110)8)($200,00(0.34)(0.05=⎥⎥⎥⎥⎦⎤⎢⎢⎢⎢⎣⎡- Therefore, the APV is:APV = $18,285.17 + $21,720.34 = $40,005.51c. Use of the subsidized loan will increase the NPV of the loan. Thus, it will allow Honda to charge more for the fleet of cars. To compute the maximum price Hertzwill pay, set the APV equal to zero.403,222.85$I (1.08)$200,0000.08(1.08)11))($200,0000.34)(0.05(1$200,0000.061.0611)(0.34)(I/50.101.1011,000)0.34)($100(1I 0APV 5555=-⎥⎥⎥⎥⎦⎤⎢⎢⎢⎢⎣⎡---+⎥⎥⎥⎥⎦⎤⎢⎢⎢⎢⎣⎡-+⎥⎥⎥⎥⎦⎤⎢⎢⎢⎢⎣⎡--+-==Note: When a subsidy exists on a loan, you cannot use the PV (Tax Shield) methodto compute the NPV of the loan. This is true because even with an interest rate subsidy, the appropriate rate by which to discount the after-tax interest payments is the market rate of interest. The PV (Tax Shield) method presumes the interest rate and the discount rate are the same.17.2 a. APV= Base-case (B/C) NPV - Floatation costs + NPV of the LoanBase-case NPV:Base-case NPV= Outflows + Present value of the depreciation tax shield + Presentvalue of the after-tax cash revenues less expenses4$168,875.50.181.18110,000)0.3)($9,00(10.061.0611,000)(0.3)($700$2,100,00033-=⎥⎥⎥⎥⎦⎤⎢⎢⎢⎢⎣⎡--+⎥⎥⎥⎥⎦⎤⎢⎢⎢⎢⎣⎡-+-=Flotation Costs:Net proceeds are $2.1 million and flotation costs are 1% of gross. Gross proceeds = $2,100,000/(1-0.01)=$2,121,212.12 Flotation costs = $21,212.12Annual tax deduction = $21,212.12/3 = $7,070.71 Annual tax shield = $7,070.71 x 0.30 = $2,121.21 Net cost = Flotation cost - NPV (tax shield)= $21,212.12 - ($2,121.21)(2.6730) = $15,542.12NPV of the Loan:There are two ways to compute the NPV of the loan. You can compute the actual NPV of the loan, or you can compute the PV of the interest tax shield.Method One:NPV (Loan) = Amount Borrowed - PV of the after-tax interest payments - PVof the principal1$189,425.1(1.125).12$2,121,2120.125(1.125)1112.12))($2,121,20.3)(0.125(1.12$2,121,212NPV(Loan)33=-⎥⎥⎥⎥⎦⎤⎢⎢⎢⎢⎣⎡---=Method Two:1$189,425.10.125(1.125)1112.12))($2,121,20.3)(0.125(shield)(Tax PV 3=⎥⎥⎥⎥⎦⎤⎢⎢⎢⎢⎣⎡-= Therefore, the APV is:APV = -$168,875.54 - $15,542.12 + $189,425.11= $5,007.45Peatco should undertake the project!b. Using the City Council’s loan , the only numbers that will change are those in the NPV of the loan. Now the interest payments are $212,121.21 (=0.10 x$2,121,212.12) rather than $265,151.51 (= 0.125 x $2,121,212.12).$227,823.5(1.125).12$2,121,2120.125(1.125)112.12)($2,121,210.3)(0.10)(1.12$2,121,212NPV(Loan)33=-⎥⎥⎥⎥⎦⎤⎢⎢⎢⎢⎣⎡---=Therefore, the APV is:APV = -$168,875.54 - $15,542.12 + $277,823.50= $93,405.84Peatco should accept the City Council’s offer and begin the project.Note: When a subsidy exists on a loan, you cannot use the PV (Tax Shield) method to compute the NPV of the loan. This is true because even with an interest rate subsidy, the appropriate rate by which to discount the after-tax interest payments is the market rate of interest. The PV (Tax Shield) method presumes the interest rate and the discount rate are the same.17.3 The calculation of the APV allows us to judge the attractiveness of the new project. Thefirst step is to calculate the all-equity (base-case) NPV. The unlevered cash flows are given, but we must infer the required return on assets from:0.10)0.4)(r 0.25(1r 0.18or),r )(r T (1SBr r 00B 0C 0S --+=--+= This relation implies that r 0 is approximately equal to 17.0%. Using the asset cash flows, the all-equity NPV is:1.37(1.170)10(1.170)8(1.170)515equity)-NPV(all 32=+++-=The additional value provided by the debt issue can be computed as:0.41(1.1).4(.1)2(1.1).4(.1)4(1.1).4(.1)6=)r (1Br T )r (1B r T )r (1B r T =PVTS =issue)NPV(debt 323B 2BC 2B 1B C B 0B C =+++++++The APV of the expansion is therefore 1.37 + 0.41 = 1.78. Since this is positive, MEO should go through with the capacity increase. 17.4million1.99$8974(.25)x3.8694x.79726(.75)x7.4690110(.75)x1.20(20/5).25A )12.1/(.25)A 6(1.25)A 10(120NPV Case Base 50.092200.1220.12-=++--=+-+---=million$4.232)10](27457.0)0607.8)(05.0)(75.0(1[10/(1.09).25)(.05)A (11010loan government subsidized of NPV 15150.09=--=---= Total NPV of the project = 4.232 - 1.99 = $2.242 million 17.5Annual cash flow from each store:Sales1,000,000 -Cost of goods sold-400,000 -General administrative costs -300,000-Interest-900,000 (30%) (9.5%)Income before tax 274,350-Tax-274,350 (40%) Net income 164,610 (annual cash flow)r r BS(1T )(r r )S 0C 0B =+--=+--=15%30%(140%)(15%95%)1599%..V equity value of each store =164,610 / 15.99% = $1,029,455.91 V each store = $1,029,455.91 + $270,000 = $1,299,455.91 V milano pizza club =3 V each store = $3,898,367.7317.6 a.You must apply the CAPM to determine the cost of equity for Wild Widgets. Toapply the CAPM to equity, you need the equity beta.βS = β0 [1 + (1-T C )(B/S)] where, βS = Equity betaβ0 = Overall firm betaTherefore, βS = .9 [ 1 + (0.66) (0.5)] = 1.197 Applying CAPM you getr S = 0.08 + 1.197 (0.16 - 0.08) = 0.17576 = 17.576% b. r B = $1070 / $972.72 -1 = 10%Therefore, the after-tax cost of debt is 6.6% (=10% x 0.66)c. To compute the WACC you need the debt-to-value and equity-to-value ratios. Since the debt-to-equity ratio is 1/2 (=D/E) and the value of the firm is the sum of the debt and equity (=D+E), the debt-to-value ratio D/(D+E) is 1 / (1+2) = 1/3. Theequity-to-value ratio is 2/3.WACC = (1/3)(6.6%) + (2/3)(17.576%) = 13.917%17.7 This firm has a capital structure which has three parts. As a capital structure becomes morecomplex, the WACC simply adds additional terms. a. Book value:WACC = ($5/$20)(0.08)(1-0.34) + ($5/$20)(0.10)(1-0.34) + ($10/$20)(0.15)= 0.1047Market value:WACC = ($5/$20)(0.08)(1-0.34) + ($2/$20)(0.10)(1-0.34) + ($13/$20)(0.15)= 0.1173Target value: The firm wants the market values of long and short term debt to be equal. Let x be the amount of long-term debt. Then total debt equals 2x. Since the firm also wants its debt-equity ratio to be 100% (or 1), the amount of equity must also be 2x. The value of the firm will be the sum of these terms which is 4x. Thus, the long-term-debt-value ratio is x/4x = 1/4. The short-term-debt-value ratio is the same, and the equity-value ratio is 1/2 (=2x / 4x). These weights should be used to compute the target WACC.WACC = (1/4)(0.08)(1-0.34) + (1/4)(0.10)(1-0.34) + (1/2)(0.15) = 0.1047b. The differences in the WACCs are due to the weights. The WACC using marketweights is the firm’s current WACC. The WACC computed using the target weights is the WACC used for project evaluation. It should be used when the project is financed in such a way that the debt-to-equity ratio of the firm isunchanged by the project. Since we assume firms fund projects at their company’s WACC, target weights are the correct weights to use in the WACC.17.8 The capital budgeting decision requires the calculation of the NPV of the equipment. TheNPV calculation requires the WACC. Cost of Equity: βS = 0.031/0.162 = 1.21r S = 7% + 1.21 (8.5%) = 17.293%After-tax cost of debt: 11% (1-0.34) = 7.26% Value of the firm: V = B + S= $24,000,000 + ($15)(4,000,000) = $84,000,000WACC = ($24,000,000 / $84,000,000) (7.26%) + ($60,000,000 / $84,000,000) (17.293%) = 14.426%The new machinery provides earnings that are an annuity for five years. The net present value of the additional equipment ision $3.084mill 0.14426(1.14426)11$9$27.5NPV 5=⎥⎥⎥⎥⎦⎤⎢⎢⎢⎢⎣⎡-+-=Yes, Baber should purchase the additional equipment.17.9 a. NEC’s debt -equity ratio is 2. That means that for every dollar of equity the firm has,it has two dollars in debt. The debt-to-value ratio of the firm is B / (B + S), so it is equal to 2/(2+1) = 2/3. The equity-to-value ratio is 1/3. Thus, the WACC is WACC = (2/3)(0.10)(1-0.34) + (1/3)(0.20) = 0.1107 Thus,NPV = -$20,000,000 + $8,000,000 / 0.1107 = $52,267,389.34 Yes, NEC should accept the project.b. Mr. Edison’s conclusion is incorrect. Even though the issuing costs of debt are farlower than those of equity, the firm must try to maintain its optimal capital structure. Recall, if a firm’s objective is to maximize shareholder wealth, it should maintain its optimal capital structure. Thus, anytime all-debt financing is used, the firm will have to issue more equity in the future to bring the capital structure back to the optimal.17.10 Baber’s WACC does not change if the firm chooses to fund the project entirely with debt.Thus, the WACC for Baber is still 14.426%. The use of target weights is based upon the assumption that the current capital structure is optimal. Indeed, if the fir m’s objective is to maximize shareholder wealth, it should always use its target weights in the computation of WACC. All debt funding for this project simply implies that the firm will have to use more equity in the future to bring the capital structure back to optimal.17.11 The all-equity value of the firm is given by:V U = 30 (1-0.34) / 0.18 = $110 millionThe share price before the recap is therefore $110 / share. Because there are no personal taxes or costs of financial distress, the value of the leverage per se is T C B = 0.34 (50) = $17 million. The value of the firm after the recap is therefore 110 + 17 = $127 million, which implies a share price of $127. At this price, the $50 million proceeds from the debt issue enables the firm to repurchase 50,000,000 / 127 = 393,700 shares. Thus, about 606,300 shares will remain outstanding. Earning per share will be:EPS = [30 million - 0.10 (50 million)] (1-0.34) / 606,300 =$27.21 / shareThe required return on equity will be:%43.21%)10%18%)(341(77/50%18)r )(r T (1SB r r B 0C 0LS =--+=--+= These values together verify the stock price by the FTE approach, since 27.21 / 0.2143 = $127.17.12 a. The unlevered free cash flows for the Kinedyne division can be calculated asSales $19,740 Variable costs 11,844 Depreciation 1,800 Taxable income $6,096 Taxes 2,438 After-tax income $3,658 Depreciation 1,800 Investment 1,800 UCF $3,658In all-equity form, the division is therefore worth 3,658 / 0.16 = $22.86 MM.b. If the division were leveraged as the parent, its weighted average cost of capitalwould be:()1344.0)]4.0(4.01[16.0V BT 1r r C 0WACC =-=-⨯= Using this rate to discount the unlevered free cash flows, the levered division value would be 3,658 / 1.344 = $27.21 MM.c. At this capital structure, the shareholders would require the return:%4.18%)10%16%)(401)(6/4(%16)r )(r T (1SBr r B 0C 0S =--+=--+=d. We need to show that the cash flow to the shareholders, discounted at the 18.4%required return, implies the value of the equity outstanding, which is .60 x V L = 0.60 ($27.21 MM) = $16.33 MM. To see this, note that the shareholders have a claim on the unlevered cash flow less the after-tax interest payment. This amount is(1T )r B C B -= .6 (.1) 10.89 MM = 0.65 MM, where the debt level is 40% of V L above. Deducting this after-tax interest payment from the unlevered cash flow implies a flow to equity (FTE) of (3.66 - 0.65) = 3.01 MM, which, when divided by the equity return of 18.4%, yields the value for shares outstanding of $16.33 MM.17.13 APV:V U = UCF / r 0 = $151.52(1– 34%)/ 0.2 = $500.016 APV = V U + T C B = $500 + (34%) ($500) = $670WACC:r S = r 0 + B/S (1– T C )(r 0 – r B ) , where S = V L – B = $670 – $500 = $170 = 0.2 + 500/170 (0.66)(0.2-0.1)=0.3941 = 39.41%r wacc = B S S +r S + BS +Br B (1– T C )=170/670 (39.41%) + 500/670 (10%)(1 – 34%) =14.92%V L = WACC r UCF = %92.14%)341(52.151- = $670FTE:LCF = (EBIT – r B B)(1 – T C )= ($151.52 – $50)(1– 34%) = $67.0032 V L = PV = ($67.0032 / 39.41%) – (– $500) =$170 + $500 = $67017.14 For the benchmark:r S = r f + β (R M – r f ) = 9% + 1.5 ( 17% – 9%) = 21% r wacc benchmark = r wacc project21% (1/1.3) + 10% (0.3/1/3) (1– 40%) = r S project (1/1.35) + 10% (0.35/1.35) (1– 40%) r S project = 21.58%16.968,288$90.615,11626.352,1726t 21.58%)(15%)55,000(1%)58.211(%)51(000,55...%)58.211(%)51(000,55%58.211000,55project the of PV t 4542=+=∑∞=+++++++++++=As PV of the project is less than the initial investment of $325,000, Schwartz & Brothers Inc. should give up the project.17.15 Flotation Cost = 4,250,000 / (1– 1.25%) – 4,250,000 = $53,797NPV of the loan = (Proceeds net of flotation cost) – (After tax present value of interest and principal payment) +(flotation costs tax shield).39$1,045,472 6.30622,1520.4072]4,303,7976.3062[232,4054,250,000A 10)53,797(40%](1.094)/4,303,79740%)A (9%)(1[4,303,7974,250,000=109.4%10109.4%=⨯+⨯+⨯-=++--17.16 a. βn = [1+(1-35%) x 1,000,000 / 1,500,000] x 1.2 = 1.72βs = [1+(1-35%) x 1,500,000 / 1,000,000] x 1.2 = 2.37b.R sn = r f + βn (R M– r f) = 4.25% + 1.72(12.75% – 4.25%) = 18.87%R ss = r f + βn (R M– r f) = 4.25% + 2.37 (12.75% – 4.25%) = 24.40%c. Although the two firms have the same risk level in case of all equity financing, thelevered β for South Pole Fishing Equipment Corp. is higher as a result of its higherleverage. Consequently, the required rate of return on the levered equity is higherfor South Pole Fishing Equipment too.Answers to End-of-Chapter Problems B-173。
公司理财罗斯英文原书第九版第二章
Financial Statements and Cash Flow
McGraw-Hill/Irwin
Copyright © 2010 by the McGraw-Hill Companies, Inc. All rights reserved.
Key Concepts and Skills
Usually a separate section reports the amount of taxes levied on income.
$86 $43 $43
2-13
U.S.C.C. Income Statement
Total operating revenues Cost of goods sold Selling, general, and administrative expenses Depreciation Operating income Other income Eห้องสมุดไป่ตู้rnings before interest and taxes Interest expense Pretax income Taxes Current: $71 Deferred: $13 Net income Retained earnings: Dividends: $2,262 1,655 327 90 $190 29 $219 49 $170 84
Deferred taxes Long-term debt Total long-term liabilities $117 471 $588 $104 458 $562
Total assets
$1,879
$1,742
Stockholder's equity: Preferred stock $39 $39 Common stock ($1 par value) 55 32 Capital surplus 347 327 Accumulated retained earnings 390 347 Less treasury stock (26) (20) Total equity $805 $725 Total liabilities and stockholder's equity $1,879 $1,742
财务管理第十七章 双语
Ke =
Ko
E : 普通股股东可获得的收益 S : 流通在外的普通股的市场价值
O : 净营业收益 总市场价值=债务和权益的市场价值之和 O=I+E 净营业收益等于支付利息加上普通股收益 假定不存在所得税 Ko:企业的综合资本化比率(Overall Capitalization Rate) 被定义为加权平均资本成本
Transactions Costs 交易成本 由于存在交易成本,套利会受到限制,从而使得使用财务杠 杆与不使用财务杠杆的企业的总价值可能不会完全相等. The Effect of Taxes 税的影响 由于利息支付可以作为费用在税前扣除,所以如果使用负 债,可获得避税收益.这样,使用杠杆的企业的价值=无财 务杠杆企业的价值+债务避税利益的现值 Taxes and Market Imperfections Combined 税和市场缺陷的结合 杠杆企业的价值=无杠杆企业的价值+债务的净避税利益的 现值-破产成本和代理成本的现值
本 成 本
Ko
K e = Ko +
B (K o K i ) S
Ke
由于企业的资本成本Ko不能通过财务 杠杆而改变,NOI暗示不存在最优资 本结构.
Ki
FL 财 务 杠 杆 (B/S)
Traditional Approach 传统方法 认为存在一个最优资本结构(optimal capital structure), 可通过适当使用财务杠杆来增加企业总价值.
Chapter 17 Capital Structure Determination 资本结构决策
Chapter 17 Capital Structure Determination 资本结构决策
罗斯《公司理财》英文习题答案DOCchap015
公司理财习题答案第十五章Chapter 15: Capital Structure: Basic Concepts15.1 a. The value of Nadus’ stock is ($20)(5,000) = $100,000. Since Nadus is an all-equityfirm, $100,000 is also the value of the firm.b. The value of any firm is the sum of the market value of its bonds and the marketvalue of its stocks, i.e. V=B+S, For Logis, the value of the stock is not yet known,nor is the value of the firm. The market value of Logis’ bonds is $25,000. Thus,the value of Logis’ stock isS=V - $25,000.c. Costs:Nadus: 0.20 ($100,000) = $20,000Logis: 0.20 (V - $25,000)Returns: You are entitled to 20% of the net income of each firm.Nadus: 0.20 ($350,000) = $70,000Logis: 0.20 [$350,000-0.12($25,000)] = $69,400d. From the standpoint of the stockholders, Logis is riskier. If you hold Logis stock,you can receive returns only after the bondholders have been paid.e. In this problem, positive signs denote negative signs denote all cash inflows and alloutflows. You should expect the immediate flows to be on net negative (anoutflow). The future flows should be on net positive (an inflow).Immediate flows:Borrow from the bank an amount equal to 20% of Logis’ debt$5,000Buy 20% of Nadus’ stock -20,000Total Immediate Flows -$15,000Future flows:Pay the interest on the loan 0.12 ($5,000) -$600Receive 20% of Nadus’ net income 70,000Total Future Flows $69,400f. Since the returns from the purchase of the Logis stock are the same as the returns inthe strategy you constructed in part e, the two investments must cost the same.Cost of the strategy = Cost of Logis stock$15,000 = 0.20 (V-$25,000)Therefore, V=$100,000Note: This is an application of MM-Proposition I, In this MM world with no taxesand no financial distress costs, the value of an levered firm will equal the value ofan un-levered firm. Thus, capital structure does not matter.g. If the value of the Logis firm is $135,000 then the value of Logis stock is $110,000(= $135,000 - $25,000). If that is true, purchasing 20% of Logis’ stock would costyou $22,000 ( = 0.20 x $110,000). You will receive the same return as before($69,400). You can receive the same return for only $15,000 by following thestrategy in part e. Thus, if Logis is worth $135,000, you should borrow on yourown account an amount equal to 20% of Logis’ debt and purchase 20% of Nadus’stock.15.2 a. B=$10 million S=$20 millionTherefore, B/S=$10 / $20 = 1/2b. The required return is the firm’s after-tax overall cost of capital. In this no tax world,that is simplyrBVrSVr 0B S =+Use CAPM to find the required return on equity. Sr = 8% + (0.9)(10%) = 17%The cost of debt is 14%.Therefore,r$10 m illion$30 m illion0.14$20 m illion$30 m illion0.1716% 0=+=15.3 You expect to earn a 20% return on your investment of $25,000. Thus, you are earning$5,000 (=$25,000 x 0.20) per year. Since you borrowed $75,000, you will be makinginterest payments of $7,500 (=$75,000 x 0.10) per annum. Your share of the stock must earn $12,500 (= $5,000 + $7,500). The return without leverage is 0.125 (=$12,500 /$100,000).15.4 The firms are identical except for their capital structures. Thus, under MM-Proposition Itheir market values must be the same regardless of their capital structures. If they are not equal, the lower valued stock is a better purchase.Market values:Levered: V=$275 million + $100 x 4.5 million = $725 millionUnlevered: V= $80 x 10 million = $800 millionSince Levered’s market value is less than Unlevered’s market value, you should buyLevered’s stock. To understand why, construct the strategies that were presented in thetext. Suppose you want to own 5% of the equity of each firm.Strategy One: Buy 5% of Unlevered’s equityStrategy Two: Buy 5% of Levered’s equityStrategy Three: Create the dollar returns of Levered through borrowing an amount equal to 5% of Levered’s debt and purchasing 5% of Unlevered’s stock. If youfollow this strategy you will own what amounts to 5% of the equity ofLevered. The reason why is that the dollar returns will be identical topurchasing 5% of Levered outright.Dollar Investment Dollar Return Strategy One: -(0.05)($800) (0.05)($96)Strategy Two: -(0.05)($450) (0.05)[$96 - (0.08)($275)]Strategy Three:Borrow (0.05)($275) -[(0.05) ($275)] (0.08)Buy Unlevered -(0.05)($800) (0.05)($96)Net $ Flows -(0.05)($525) (0.05)[$96 - (0.08)($275)] Note: Dollar amounts are in millions.Note: Negative signs denote outflows and positive denotes inflows.Since the payoffs to strategies Two and Three are identical, their costs should be the same.Yet, strategy three is more expensive than strategy two ($26.25 million versus $22.5公司理财习题答案第十五章million). Thus, Levered’s stock is underpriced relative to Unlevered’s stock. You should purchase Levered’s s tock.15.5 a. In this MM world, the market value of Veblen must be the same as the market valueof Knight. If they are not equal, an investor can improve his net returns throughborrowing and buying Veblen stock. To understand the improvement, construct thestrategies discussed in the text. The investor already owns 0.0058343 (=$10,000 /$1,714,000) of the equity of Knight. Suppose he is willing to purchase the sameamount of Veblen’s equity.Strategy One (SI): Buy 0.58343% of Veblen’s equit y.Strategy Two (SII): Continue to hold the 0.58343% of Knight’s equity.Strategy Three (SIII): Create the dollar returns of Knight through borrowing anamount equal to 0.58343% of Knight’s debt and purchasing0.58343% of Veblen’s stock. If you follow this strategy youwill own what amounts to 0.58343% of the equity of Knight.The reason why is that the dollar returns will be identical topurchasing 0.58343% of Knight outright.Dollar Investment Dollar Return SI: -(0.0058343)($2.4) (0.0058343)($0.3)SII: -(0.0058343)($1.714) (0.0058343)($0.24)SIII:Borrow (0.0058343)($1) -[(0.0058343) ($1)] (0.06)Buy Veblen -(0.0058343)($2.4) (0.0058343)($0.3)Net $ Flows -(0.0058343)($1.4) (0.0058343)($0.24) Note: Dollar amounts are in millions.Note: Negative signs denote outflows and positive denotes inflows.Since strategies Two and Three have the same payoffs, they should cost the same.Strategy three is cheaper, thus, Knight stock is overpriced relative to Veblen stock.An investor can benefit by selling the Knight stock, borrowing an amount equal to0.0058343 of Knights debt and buying the same portion of Veblen stock. Theinvestor’s dollar returns will be identical to holding the Knight stock, but the costwill be less.b. Modigliani and Miller argue that everyone would attempt to construct the strategy.Investors would attempt to follow the strategy and the act of them doing so willlower the market value of Knight and raise the market value of Veblen until theyare equal.15.6 Each lady has purchased shares of the all-equity NLAW and borrowed or lent to create thenet dollar returns she desires. Once NLAW becomes levered, the return that the ladiesreceive for owning stock will be decreased by the interest payments. Thus, to continue to receive the same net dollar returns, each lady must rebalance her portfolio. The easiestapproach to this problem is to consider each lady individually. Determine the dollarreturns that the investor would receive from an all-equity NLAW. Determine what she will receive from the firm if it is levered. Then adjust her borrowing or lending position tocreate the returns she received from the all-equity firm.Before looking at the women’s positions, look at the firm value.All-equity: V=100,000 x $50 = $5,000,000Levered: V=$1,000,000 + 80,000 x $50 = $5,000,000Remember, the firm repurchased 20,000 shares.The income of the firm is unknown. Since we need it to compute the investor’s returns, we will denote it as Y. Assume that the income of the firm does not change due to the capital restructuring and that it is constant for the foreseeable future.Ms. A before rebalancing: Ms. A owns $10,000 worth of NLAW stock. That ownership represents ownership of 0.002 (=$10,000/$5,000,000) of the all-equity firm. That ownership entitles her to receive 0.002 of the firm’s income; i.e. her dollar return is 0.002Y. Also, Ms. A has borrowed $2,000. That loan will require her to make an interest payment of $400 ($2,000 x 0.20). Thus, the dollar investment and dollar return positions of Ms. A are:Dollar Investment Dollar Return NLAW Stock -$10,000 0.002YBorrowing 2,000 -$400Net -$8,000 0.002Y-$400Note: Negative signs denote outflows and positive denotes inflows.Ms. A after rebalancing: After rebalancing, Ms. A will want to receive net dollar returnsof 0.002Y-$400. The only way to receive the 0.002Y is to own 0.002 of NLAW’s stock. Examine the returns she will receive from the levered NLAW if she owns 0.002 of thef irm’s equity. She will receive (0.002) [Y - ($1,000,000)(0.20)] = 0.002Y - $400. This is exactly the dollar return she desires! Therefore, Ms. A should own 0.002 of the levered firm’s equity and neither lends nor borrow. Owning 0.002 of the firm’s equi ty means she has $8,000 (= 0.0002 x $4,000,000) invested in NLAW stock.Dollar Investment Dollar Return NLAW stock -$8,000 0.002Y - $400Ms. B before rebalancing: Ms. B owns $50,000 worth of NLAW stock. That ownership represents ownership of 0.01 (=$50,000/$5,000,000) of the all-equity firm. That ownership entitles her to receive 0.01 of the firm’s income; i.e. her dollar return is 0.01Y. Also, Ms. B has lent $6,000. That loan will generate interest income for her of the amount $1,200 (=$6,000 x 0.20). Thus, the dollar investment and dollar return positions of Ms. B are:Dollar Investment Dollar Return NLAW Stock -$50,000 0.01YLending -6,000 $1,200Net -$56,000 0.01Y + $1,200Ms. B after rebalancing: After rebalancing, Ms. B will want to receive net dollar returns of 0.01Y + $1,200. The only way to receive the 0.01Y is to own 0.01 of NLAW’s stock. Examine the returns she will receive from the levered NLAW if she owns 0.01 of the firm’s equity. She will receive (0.01) [Y - ($1,000,000) (0.20)] = 0.01Y - $2,000. This is not the return which Ms. B desires, so she must lend enough money to generate interest income of $3,200 (=$2,000 + $1,200). Since the interest rate is 20% she must lend公司理财习题答案第十五章$16,000 (= $3,200 / 0.20). The 0.01 equity interest of Ms. B means she will have $40,000 (=0.01 x $4,000,000) invested in NLAW.Dollar Investment Dollar ReturnNLAW Stock -$40,000 0.01Y - $2,000Lending -16,000 $3,200Net -$56,000 0.01Y + $1,200Ms. C before rebalancing: Ms. C owns $20,000 worth of NLAW stock. That ownershiprepresents ownership of 0.004 (=$20,000 / $5,000,000) of the all-equity firm. Thatownership entitles her to receive 0.004 of the firm’s income; i.e. her dollar return is 0.004Y.The dollar investment and dollar return positions of Ms. A are:Dollar Investment Dollar ReturnNLAW Stock -$20,000 0.004YMs. C after rebalancing: After rebalancing, Ms. C will want to receive net dollar returns of0.004Y. The only way to receive the 0.004Y is to ow n 0.004 of NLAW’s stock. Examinethe returns she will receive from the levered NLAW if she owns 0.004 of the firm’s equity.She will receive (0.004) [Y - ($1,000,000) (0.20)] = 0.004Y - $800. This is not the dollar return she desires. Therefore, Ms. C must lend enough money to offset the $800 she loses once the firm becomes levered. Since the interest rate is 20% she must lend $4,000 (=$800 / 0.20). The 0.004 equity interest of Ms. C means she will have $16,000 (0.004 x$4,000,000) invested in NLAW.Dollar Investment Dollar ReturnNLAW Stock -$16,000 0.004Y - $800Lending -4,000 $800Net -$20,000 0.004Y15.7 a. Since Rayburn is currently an all-equity firm, the value of the firm’s assets equalsthe value of its equity. Under MM-Proposition One, the value of a firm will notchange due to a capital structure change, and the overall cost of capital will remainunchanged. Therefore, Rayburn’s overall cost of capital is 18%.b. MM-Proposition Two states r r(B/S)(r r)=+-.S00BApplying this formula you can find the cost of equity.r = 18% + ($400,000 / $1,600,000) (18% - 10%) = 20%Sc. In accordance with Proposition Two, the expected return on Rayburn’s equity willrise with the amount of leverage. This rise occurs because of the risk which the debt adds.15.8 a.b.i. According to efficient markets, Strom’s stock price will rise immediately toreflect the NPV of the project.ii. The NPV of the facilities that Strom is buying isNPV= -$300,000 + ($120,000 / 0.15) = $500,000The sum of the old assets and the NPV of the new facilities is the new value ofthe firm ($5.5 million). Since new shares have not yet been sold, the price of theoutstanding shares must rise. The new price is $5,500,000 / 250,000 = $22.iii. Strom needed to raise $300,000 through the sale of stock that sells for $22.Thus, Strom sold 13,636.364 (=$300,000 / $22) shares.iv.v.vi. The returns available to the shareholders are the sum of the returns from each portion of the firm.Total earnings = $750,000 + $120,000 = $870,000Return = ($870,000 / $5,800,000) = 15%Note: The returns to the shareholder had to be the same since r0 was unchangedand the firm added no debt.c.i.Under efficient markets the price of the shares must rise to reflect the NPV of thenew facilities. The value will be the same as with all-equity financing because1. Strom purchased the same competitor and2. In this MM world debt is no better or no worse than equity.公司理财习题答案第十五章ii.iii. The cost of equity will be the earnings after interest and taxes divided by the market value of common. Since Strom pays no taxes, the cost of equity is simplythe earnings after interest (EAI) divided by the market value of common.EAI = $750,000 + $120,000 - $300,000 (0.10) = $840,000Cost of equity = $840,000 / $5,500,000 = 15.27%iv. The debt causes the equity of the firm to be riskier. Remember, stockholders are residual owners of the firm.v. MM-Proposition Two states,r r(B/S)(r r)15%($300,000/$5,500,000)(15%10%)15.27% =+-=+-=S00Bd. Examine the final balance sheet for the firm and you will see that the price is $22under each plan.15.9 a. The market value of the firm will be the present value of Gulf’s earning s after thenew plant is built. Since the firm is an all-equity firm, the overall required return isthe required return on equity.Annual earnings = Original plant + New Plant= $27 million + $3 million = $30 millionValue = $30 million / 0.1 = $300 millionb. Gulf Power is in an MM world (no taxes, no costs of financial distress). Therefore,the value of the firm is unchanged by a change in the capital structure.c. The overall required rate of return is also unchanged by the capital structurechange. Thus, according to MM-Proposition Two, r r(B/S)(r r)=+-. TheS00B firm is valued at $300 million of which $20 million is debt. The remaining $280million is the value of the stock.r S = 10% + ($20 million / $280 million) (10% - 8%) = 10.14%15.10 a. False. Leverage increases both the risks of the stock and its expected return. MMpoint out that these two effects exactly cancel out each other and leave the price ofthe stock and the value of the firm invariant to leverage. Since leverage is beingreduced in this firm, the risk of the shares is lower; however, the price of the stockremains the same in accordance with MM.b. False. If moderate borrowing does not affect the probability of financial distress,then the required return on equity is proportional to the debt-equity ratio [i.e.=+-]. Increasing the amount of debt will increase the return on r r(B/S)(r r)S00Bequity.15.11 a.i. Individuals can borrow at the same interest rate at which firms borrow.ii. There are no taxes.iii. There are no costs of financial distress.b.i. If firms are able to borrow at a rate that is lower than that at which individualsborrow, then it is possible to increase the firm’s value through borrowing. Asthe text discussed, since investors can purchase securities on margin, theindividuals’ effective rate is probably no higher than that of the firms.ii. In the presence of corporate taxes, the value of the firm is positively related to the level of debt. Since interest payments are deductible, increasing debtminimizes tax expenditure and thus maximizes the value of the firm for thestockholders. As will be shown in the next chapter, personal taxes offset thepositive effect of debt.iii. Because these costs are substantial and stockholders eventually bear them, they are incentives to lower the amount of debt. This implies that the capital structuremay matter. This topic will also be discussed more fully in the next chapter. 15.12 a and b.Total investment in the firm’s assets = $10 x 1million x 1% = $0.1 million3 choices of financing 20% debt 40% debt 60% debtTotal asset investment 0.1 0.1 0.1x ROA (15%) 0.015 0.015 0.015- Interest 0.2 x 0.1 x0.1 0.4 x 0.1 x 0.1 0.6 x 0.1 x 0.1Profit after interest 0.013 0.011 0.009/ Investment in equity 0.1 x 0.8 0.1 x 0.6 0.1 x 0.4ROE 16.25% 18.33% 22.5%Susan can expect to earn $0.013 million, $0.011 million, and $0.009 million,respectively, from the correspondent three scenarios of financing choices, i.e.borrowing 20%, 40%, or 60% of the total investment. The respective returns onequity are 16.25%, 18.33% and 22.5%.c. From part a and b, we can see that in an MM with no tax world, higher leveragebrings about higher return on equity. The high ROE is due to the increased risk ofequity while the WACC remains unchanged. See below.WACC for 20% debt = 16.25% x 0.8 + 10% x 0.2 = 15%WACC for 40% debt = 18.33% x 0.6 + 10% x 0.4 = 15%WACC for 60% debt = 22.5% x 0.4 + 10% x 0.6 = 15%This example is a case of homemade leverage, so the results are parallel to that of aleveraged firm.15.13 Suppose individuals can borrow at the same rate as the corporation, there is no needfor the firm to change its capital structure because of the different forecasts ofearnings growth rates, as investors can always duplicate the leverage by creatinghomemade leverage. Different expectation of earnings growth rates can affect theexpected return on assets. But this change is the result of the change in expectedoperating performance of the corporation and/or other macroeconomic factors. Theleverage ratio is irrelevant here since we are in an MM without tax world.公司理财习题答案第十五章15.14 a. current debt = 0.75 / 10% = $7.5 millioncurrent equity = 7.5 / 40% = $18.75 millionTotal firm value = 7.5 + 18.75 = $26.25 millionb. r s = earnings after interest/total equity value = $(3.75 - .75)/$18.75 = 16%r B =10%r 0 = (.4/1.4)(10%) + (1/1.4)(16%) = 14.29%r S after repurchase = 14.29% + (50%)(14.29% - 10%) = 16.44%So, the return on equity would increase from 16% to 16.44% with the completion of the planned stock repurchase.c. The stock price wouldn’t change because in an MM world, there’s no added value toa change in firm leverage. In other words, it’s a zero NPV transaction.15.15 a. Since V V T B L U C =+,V =V T B U L C -. L V = $1,700,000, B = $500,000 and C T =0.34. Therefore, the value of the unlevered firm isU V = $1,700,000 - (0.34)($500,000) = $1,530,000b. Equity holders earn 20% after-tax in an all-equity firm. That amount is $306,000(=$1,530,000 x 0.20). The yearly, after-tax interest expense in the levered firm is$33,000 [=$500,000 x 0.10 (1-0.34)]. Thus, the after-tax earnings of the equityholders in a levered firm are $273,000 (=$306,000 - $33,000). This amount is thefirm’s net income.15.16 The initial market value of the equity is given as $3,500,000. On a per share basis this is$20 (=$3,500,000 / 175,000). The firm buys back $1,000,000 worth of shares, or 50,000 (= $1,000,000 / $20) shares.In this MM world with taxes,V V T B L U C =+= $3,500,000 + (0.3) ($1,000,000) = $3,800,000Since V = B + S, the market value of the equity is $2,800,000 (= $3,800,000 - $1,000,000).15.17 a. Since Streiber is an all-equity firm,V = EBIT (1 - C T ) / 0r = $2,500,000 (1 - 0.34) / 0.20 = $8,250,000b. V V T B L U C =+= $8,250,000 + (0.34)($600,000) = $8,454,000c. The presence of debt creates a tax shield for the firm. That tax shield has value andaccounts for the increase in the value of the firm.d. You are making the MM assumptions:i. No personal taxesii. No costs of financial distressiii. Debt level of the firm is constant through time15.18 a. In this MM world with no financial distress costs, the value of the levered firm isgiven by V V T B L U C =+. The value of the unlevered firm is V = EBIT (1 - C T ) / r 0.The market value of the debt of Olbet is B = $200,000 / 0.08 = $2,500,000.Therefore, V = $1,200,000 (1 - 0.35) / 0.12 + ($2,500,000) (0.35) = $7,375,000b. Since debt adds to the value of the firm, it implies that the firm should be financedentirely with debt if it wishes to maximize its value.c. This conclusion is incorrect because it does not consider the costs of financialdistress or other agency costs that might offset the positive contribution of the debt. These costs will be discussed in further detail in the next chapter.15.19 a. Since Green is currently an all-equity firm, the value of the firm is the value of itsoutstanding equity, $10 million. The value of the firm must also equal the PV ofthe after-tax earnings, discounted at the overall required return. The after-taxearnings are simply ($1,500,000) (1 - 0.4) = $900,000. Thus, $10,000,000 =$900,000 / 0r0r = 0.09b. With 500,000 shares outstanding, the current price of a share is $20 (=$10,000,000 / 500,000). Green’s market value balance sheet isTherefore, at the announcement, the value of the firm will rise by the PV of the tax shield (PVTS). The PVTS is ($2,000,000) (0.4) = $800,000. Since the value of the firm has risen $800,000 and the debt has not yet been issued, the price of Green stock must rise to reflect the increase in firm value. Since the firm is worth $10,800,000 (=$10,000,000 + 800,000) and there are 500,000 shares outstanding,the price of a share rises to $21.60 (= $10,800,000 / 500,000). price of the stock rises to $21.60. Thus, Green will retire $2,000,000 / $21.60 = $92,592.59 shares. e. After the restructuring, the value of the firm will still be $10,800,000. Debt will be $2,000,000 and the 407,407.41 (=500,000 - 92,592.59) outstanding shares of stockwill sell for $21.60. )T -)(1r (B /S)(r r r C B 00S -+= = 0.09 + ($2,000,000 / $8,800,000) (0.09 - 0.06) (1 - 0.4) = 9.41%15.20 a.million $20.83$100.3515.0)65.0(4$B T r )T EBIT(1B T V V C 0C C U L =⨯+=+-=+= b.公司理财习题答案第十五章Answers to End-of-Chapter Problems B-15112.48%V )T EBIT(1r V S )T (1r V Br L C S L C B L WACC =-=+-= c. r r (B /S)(r r )(1-T S 00B C =+-)= 0.15 + [10 / (20.83 - 10)] (0.65) (0.15 - 0.10) = 18.01%15.21 a. r S = 0r + (B / S)( 0r – B r )(1 – C T )= 15% + (2.5)(15% – 11%)(1– 35%)= 21.50%b. If there is no debt, WACC r = r S = 15%c. S r = 15% + 0.75 (15% – 11%)(1 – 35%)= 16.95%B/S = 0.75, B = 0.75SB/(B+S) = 0.75S/(0.75S +S)= 0.75 /1.75S/(B+S) = 1– (0.75 /1.75) = (1/1.75)r WACC = (0.75/1.75)(0.11)(1– 0.35) + (1/1.75)(16.95%)= 12.75%S r = 15% + 1.5 (15% – 11%)(1 – 35%)= 18.90%B/S = 1.5, B = 1.5SB/(B+S) = 1.5S/(1.5S +S)= 1.5/2.5S /(B+S) = 1 – (1.5/2.5)WACC r = (1.5/2.5)(0.11)(1 – 0.35) + (1/2.5)(0.1890)= 11.85%15.22 Since this is an all-equity firm, the WACC = S r .$240,00025.0)4.01(000,100$r )T EBIT(1V S C U =-=-=If the firm borrows to repurchase its own shares, then the value of GT will be: L V = U V + C T B()$440,000000,500$4.025.0)6.0(000,100$=⨯+=。
财务报表分析与证券定价 (18)
The Analysis of Equity Risk and the Cost of Capital
The Analysis of Equity Risk and the Cost of Capital
Link to Previous Chapters Chapter 3 reviewed standard beta technologies to measure the cost of capital. Chapter 13 distinguished operating risk and financing risk.
This Chapter This chapter analyzes the fundamental determinants of operating and financing risk in equity investing. It also introduces price risk and outlines ways to incorporate risk when valuing firms and trading in their shares.
What are the problems with standard beta technologies? What are the fundamental determinants of risk? What is price risk? How is risk incorporated in valuation?
The Nature of Risk
• Value is determined by expected payoffs discounted for risk • Risk is determined by the likelihood of getting payoffs that are different from the expected payoff • Risk is characterized by the set of possible outcomes that an investor faces and the probabilities of these outcomes: a payoff (or return) distribution
国际财务管理16
K local
K global
IRR
Ilocal Iglobal
Investment ($)
McGraw-Hill/Irwin
Copyright © 2001 by The McGraw-Hill Companies, Inc. All rights
Cost of Capital in Segmented vs. Integrated Markets
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2.
3. 4.
The company can expand its potential investor base, which will lead to a higher stock price and lower cost of capital. Cross-listing creates a secondary market for the company’s shares, which facilitates raising new capital in foreign markets. Cross-listing can enhance the liquidity of the company’s stock. Cross-listing enhances the visibility of the company’s name and its products in foreign marketplaces.
16-3
Copyright © 2001 by The McGraw-Hill Companies, Inc. All rights
The Firm’s Investment Decision and the Cost of Capital
ACCA F1chapter 17
disclosure, and enhance the public’s faith
guidance Test 10
8. The role of IASB
▪ In London ,14 members
▪ IASC: IASs 国际会计准则
▪ IASB: IFRSs 国际财务报告准则
▪ 100 countries adopt the IFRSs or amend their national standards
3. Requirements for financial statements
True and fair view(条件): ▪ Follow accounting standards ▪ Follow GA best practice ▪ Sufficient quantity ▪ Sufficient quality (reasonably accurate,
Test8、 9
7. The role of IASCF
Structure and role p326 ▪ IASCF国际会计准则理事会基金会: supervises
and raises money ▪ SAC 准则顾问委员会: consults and advises ▪ IASB 国际会计准则理事会:produces standards ▪ IFRIC 国际财务报告解释委员会:gives
▪ Financial director or Chief financial officer ▪ Accounting firm
罗斯《公司理财》第9版精要版英文原书课后部分章节答案
CH5 11,13,18,19,2011.To find the PV of a lump sum, we use:PV = FV / (1 + r)tPV = $1,000,000 / (1.10)80 = $488.1913.To answer this question, we can use either the FV or the PV formula. Both will give the sameanswer since they are the inverse of each other. We will use the FV formula, that is:FV = PV(1 + r)tSolving for r, we get:r = (FV / PV)1 / t– 1r = ($1,260,000 / $150)1/112– 1 = .0840 or 8.40%To find the FV of the first prize, we use:FV = PV(1 + r)tFV = $1,260,000(1.0840)33 = $18,056,409.9418.To find the FV of a lump sum, we use:FV = PV(1 + r)tFV = $4,000(1.11)45 = $438,120.97FV = $4,000(1.11)35 = $154,299.40Better start early!19. We need to find the FV of a lump sum. However, the money will only be invested for six years,so the number of periods is six.FV = PV(1 + r)tFV = $20,000(1.084)6 = $32,449.3320.To answer this question, we can use either the FV or the PV formula. Both will give the sameanswer since they are the inverse of each other. We will use the FV formula, that is:FV = PV(1 + r)tSolving for t, we get:t = ln(FV / PV) / ln(1 + r)t = ln($75,000 / $10,000) / ln(1.11) = 19.31So, the money must be invested for 19.31 years. However, you will not receive the money for another two years. Fro m now, you’ll wait:2 years + 19.31 years = 21.31 yearsCH6 16,24,27,42,5816.For this problem, we simply need to find the FV of a lump sum using the equation:FV = PV(1 + r)tIt is important to note that compounding occurs semiannually. To account for this, we will divide the interest rate by two (the number of compounding periods in a year), and multiply the number of periods by two. Doing so, we get:FV = $2,100[1 + (.084/2)]34 = $8,505.9324.This problem requires us to find the FVA. The equation to find the FVA is:FVA = C{[(1 + r)t– 1] / r}FVA = $300[{[1 + (.10/12) ]360 – 1} / (.10/12)] = $678,146.3827.The cash flows are annual and the compounding period is quarterly, so we need to calculate theEAR to make the interest rate comparable with the timing of the cash flows. Using the equation for the EAR, we get:EAR = [1 + (APR / m)]m– 1EAR = [1 + (.11/4)]4– 1 = .1146 or 11.46%And now we use the EAR to find the PV of each cash flow as a lump sum and add them together: PV = $725 / 1.1146 + $980 / 1.11462 + $1,360 / 1.11464 = $2,320.3642.The amount of principal paid on the loan is the PV of the monthly payments you make. So, thepresent value of the $1,150 monthly payments is:PVA = $1,150[(1 – {1 / [1 + (.0635/12)]}360) / (.0635/12)] = $184,817.42The monthly payments of $1,150 will amount to a principal payment of $184,817.42. The amount of principal you will still owe is:$240,000 – 184,817.42 = $55,182.58This remaining principal amount will increase at the interest rate on the loan until the end of the loan period. So the balloon payment in 30 years, which is the FV of the remaining principal will be:Balloon payment = $55,182.58[1 + (.0635/12)]360 = $368,936.5458.To answer this question, we should find the PV of both options, and compare them. Since we arepurchasing the car, the lowest PV is the best option. The PV of the leasing is simply the PV of the lease payments, plus the $99. The interest rate we would use for the leasing option is thesame as the interest rate of the loan. The PV of leasing is:PV = $99 + $450{1 – [1 / (1 + .07/12)12(3)]} / (.07/12) = $14,672.91The PV of purchasing the car is the current price of the car minus the PV of the resale price. The PV of the resale price is:PV = $23,000 / [1 + (.07/12)]12(3) = $18,654.82The PV of the decision to purchase is:$32,000 – 18,654.82 = $13,345.18In this case, it is cheaper to buy the car than leasing it since the PV of the purchase cash flows is lower. To find the breakeven resale price, we need to find the resale price that makes the PV of the two options the same. In other words, the PV of the decision to buy should be:$32,000 – PV of resale price = $14,672.91PV of resale price = $17,327.09The resale price that would make the PV of the lease versus buy decision is the FV of this value, so:Breakeven resale price = $17,327.09[1 + (.07/12)]12(3) = $21,363.01CH7 3,18,21,22,313.The price of any bond is the PV of the interest payment, plus the PV of the par value. Notice thisproblem assumes an annual coupon. The price of the bond will be:P = $75({1 – [1/(1 + .0875)]10 } / .0875) + $1,000[1 / (1 + .0875)10] = $918.89We would like to introduce shorthand notation here. Rather than write (or type, as the case may be) the entire equation for the PV of a lump sum, or the PVA equation, it is common to abbreviate the equations as:PVIF R,t = 1 / (1 + r)twhich stands for Present Value Interest FactorPVIFA R,t= ({1 – [1/(1 + r)]t } / r )which stands for Present Value Interest Factor of an AnnuityThese abbreviations are short hand notation for the equations in which the interest rate and the number of periods are substituted into the equation and solved. We will use this shorthand notation in remainder of the solutions key.18.The bond price equation for this bond is:P0 = $1,068 = $46(PVIFA R%,18) + $1,000(PVIF R%,18)Using a spreadsheet, financial calculator, or trial and error we find:R = 4.06%This is the semiannual interest rate, so the YTM is:YTM = 2 4.06% = 8.12%The current yield is:Current yield = Annual coupon payment / Price = $92 / $1,068 = .0861 or 8.61%The effective annual yield is the same as the EAR, so using the EAR equation from the previous chapter:Effective annual yield = (1 + 0.0406)2– 1 = .0829 or 8.29%20. Accrued interest is the coupon payment for the period times the fraction of the period that haspassed since the last coupon payment. Since we have a semiannual coupon bond, the coupon payment per six months is one-half of the annual coupon payment. There are four months until the next coupon payment, so two months have passed since the last coupon payment. The accrued interest for the bond is:Accrued interest = $74/2 × 2/6 = $12.33And we calculate the clean price as:Clean price = Dirty price – Accrued interest = $968 – 12.33 = $955.6721. Accrued interest is the coupon payment for the period times the fraction of the period that haspassed since the last coupon payment. Since we have a semiannual coupon bond, the coupon payment per six months is one-half of the annual coupon payment. There are two months until the next coupon payment, so four months have passed since the last coupon payment. The accrued interest for the bond is:Accrued interest = $68/2 × 4/6 = $22.67And we calculate the dirty price as:Dirty price = Clean price + Accrued interest = $1,073 + 22.67 = $1,095.6722.To find the number of years to maturity for the bond, we need to find the price of the bond. Sincewe already have the coupon rate, we can use the bond price equation, and solve for the number of years to maturity. We are given the current yield of the bond, so we can calculate the price as: Current yield = .0755 = $80/P0P0 = $80/.0755 = $1,059.60Now that we have the price of the bond, the bond price equation is:P = $1,059.60 = $80[(1 – (1/1.072)t ) / .072 ] + $1,000/1.072tWe can solve this equation for t as follows:$1,059.60(1.072)t = $1,111.11(1.072)t– 1,111.11 + 1,000111.11 = 51.51(1.072)t2.1570 = 1.072tt = log 2.1570 / log 1.072 = 11.06 11 yearsThe bond has 11 years to maturity.31.The price of any bond (or financial instrument) is the PV of the future cash flows. Even thoughBond M makes different coupons payments, to find the price of the bond, we just find the PV of the cash flows. The PV of the cash flows for Bond M is:P M= $1,100(PVIFA3.5%,16)(PVIF3.5%,12) + $1,400(PVIFA3.5%,12)(PVIF3.5%,28) + $20,000(PVIF3.5%,40)P M= $19,018.78Notice that for the coupon payments of $1,400, we found the PVA for the coupon payments, and then discounted the lump sum back to today.Bond N is a zero coupon bond with a $20,000 par value, therefore, the price of the bond is the PV of the par, or:P N= $20,000(PVIF3.5%,40) = $5,051.45CH8 4,18,20,22,24ing the constant growth model, we find the price of the stock today is:P0 = D1 / (R– g) = $3.04 / (.11 – .038) = $42.2218.The price of a share of preferred stock is the dividend payment divided by the required return.We know the dividend payment in Year 20, so we can find the price of the stock in Year 19, one year before the first dividend payment. Doing so, we get:P19 = $20.00 / .064P19 = $312.50The price of the stock today is the PV of the stock price in the future, so the price today will be: P0 = $312.50 / (1.064)19P0 = $96.1520.We can use the two-stage dividend growth model for this problem, which is:P0 = [D0(1 + g1)/(R –g1)]{1 – [(1 + g1)/(1 + R)]T}+ [(1 + g1)/(1 + R)]T[D0(1 + g2)/(R –g2)]P0= [$1.25(1.28)/(.13 – .28)][1 – (1.28/1.13)8] + [(1.28)/(1.13)]8[$1.25(1.06)/(.13 – .06)]P0= $69.5522.We are asked to find the dividend yield and capital gains yield for each of the stocks. All of thestocks have a 15 percent required return, which is the sum of the dividend yield and the capital gains yield. To find the components of the total return, we need to find the stock price for each stock. Using this stock price and the dividend, we can calculate the dividend yield. The capital gains yield for the stock will be the total return (required return) minus the dividend yield.W: P0 = D0(1 + g) / (R–g) = $4.50(1.10)/(.19 – .10) = $55.00Dividend yield = D1/P0 = $4.50(1.10)/$55.00 = .09 or 9%Capital gains yield = .19 – .09 = .10 or 10%X: P0 = D0(1 + g) / (R–g) = $4.50/(.19 – 0) = $23.68Dividend yield = D1/P0 = $4.50/$23.68 = .19 or 19%Capital gains yield = .19 – .19 = 0%Y: P0 = D0(1 + g) / (R–g) = $4.50(1 – .05)/(.19 + .05) = $17.81Dividend yield = D1/P0 = $4.50(0.95)/$17.81 = .24 or 24%Capital gains yield = .19 – .24 = –.05 or –5%Z: P2 = D2(1 + g) / (R–g) = D0(1 + g1)2(1 + g2)/(R–g2) = $4.50(1.20)2(1.12)/(.19 – .12) = $103.68P0 = $4.50 (1.20) / (1.19) + $4.50 (1.20)2/ (1.19)2 + $103.68 / (1.19)2 = $82.33Dividend yield = D1/P0 = $4.50(1.20)/$82.33 = .066 or 6.6%Capital gains yield = .19 – .066 = .124 or 12.4%In all cases, the required return is 19%, but the return is distributed differently between current income and capital gains. High growth stocks have an appreciable capital gains component but a relatively small current income yield; conversely, mature, negative-growth stocks provide a high current income but also price depreciation over time.24.Here we have a stock with supernormal growth, but the dividend growth changes every year forthe first four years. We can find the price of the stock in Year 3 since the dividend growth rate is constant after the third dividend. The price of the stock in Year 3 will be the dividend in Year 4, divided by the required return minus the constant dividend growth rate. So, the price in Year 3 will be:P3 = $2.45(1.20)(1.15)(1.10)(1.05) / (.11 – .05) = $65.08The price of the stock today will be the PV of the first three dividends, plus the PV of the stock price in Year 3, so:P0 = $2.45(1.20)/(1.11) + $2.45(1.20)(1.15)/1.112 + $2.45(1.20)(1.15)(1.10)/1.113 + $65.08/1.113 P0 = $55.70CH9 3,4,6,9,153.Project A has cash flows of $19,000 in Year 1, so the cash flows are short by $21,000 ofrecapturing the initial investment, so the payback for Project A is:Payback = 1 + ($21,000 / $25,000) = 1.84 yearsProject B has cash flows of:Cash flows = $14,000 + 17,000 + 24,000 = $55,000during this first three years. The cash flows are still short by $5,000 of recapturing the initial investment, so the payback for Project B is:B: Payback = 3 + ($5,000 / $270,000) = 3.019 yearsUsing the payback criterion and a cutoff of 3 years, accept project A and reject project B.4.When we use discounted payback, we need to find the value of all cash flows today. The valuetoday of the project cash flows for the first four years is:Value today of Year 1 cash flow = $4,200/1.14 = $3,684.21Value today of Year 2 cash flow = $5,300/1.142 = $4,078.18Value today of Year 3 cash flow = $6,100/1.143 = $4,117.33Value today of Year 4 cash flow = $7,400/1.144 = $4,381.39To find the discounted payback, we use these values to find the payback period. The discounted first year cash flow is $3,684.21, so the discounted payback for a $7,000 initial cost is:Discounted payback = 1 + ($7,000 – 3,684.21)/$4,078.18 = 1.81 yearsFor an initial cost of $10,000, the discounted payback is:Discounted payback = 2 + ($10,000 – 3,684.21 – 4,078.18)/$4,117.33 = 2.54 yearsNotice the calculation of discounted payback. We know the payback period is between two and three years, so we subtract the discounted values of the Year 1 and Year 2 cash flows from the initial cost. This is the numerator, which is the discounted amount we still need to make to recover our initial investment. We divide this amount by the discounted amount we will earn in Year 3 to get the fractional portion of the discounted payback.If the initial cost is $13,000, the discounted payback is:Discounted payback = 3 + ($13,000 – 3,684.21 – 4,078.18 – 4,117.33) / $4,381.39 = 3.26 years6.Our definition of AAR is the average net income divided by the average book value. The averagenet income for this project is:Average net income = ($1,938,200 + 2,201,600 + 1,876,000 + 1,329,500) / 4 = $1,836,325And the average book value is:Average book value = ($15,000,000 + 0) / 2 = $7,500,000So, the AAR for this project is:AAR = Average net income / Average book value = $1,836,325 / $7,500,000 = .2448 or 24.48%9.The NPV of a project is the PV of the outflows minus the PV of the inflows. Since the cashinflows are an annuity, the equation for the NPV of this project at an 8 percent required return is: NPV = –$138,000 + $28,500(PVIFA8%, 9) = $40,036.31At an 8 percent required return, the NPV is positive, so we would accept the project.The equation for the NPV of the project at a 20 percent required return is:NPV = –$138,000 + $28,500(PVIFA20%, 9) = –$23,117.45At a 20 percent required return, the NPV is negative, so we would reject the project.We would be indifferent to the project if the required return was equal to the IRR of the project, since at that required return the NPV is zero. The IRR of the project is:0 = –$138,000 + $28,500(PVIFA IRR, 9)IRR = 14.59%15.The profitability index is defined as the PV of the cash inflows divided by the PV of the cashoutflows. The equation for the profitability index at a required return of 10 percent is:PI = [$7,300/1.1 + $6,900/1.12 + $5,700/1.13] / $14,000 = 1.187The equation for the profitability index at a required return of 15 percent is:PI = [$7,300/1.15 + $6,900/1.152 + $5,700/1.153] / $14,000 = 1.094The equation for the profitability index at a required return of 22 percent is:PI = [$7,300/1.22 + $6,900/1.222 + $5,700/1.223] / $14,000 = 0.983We would accept the project if the required return were 10 percent or 15 percent since the PI is greater than one. We would reject the project if the required return were 22 percent since the PI is less than one.CH10 9,13,14,17,18ing the tax shield approach to calculating OCF (Remember the approach is irrelevant; the finalanswer will be the same no matter which of the four methods you use.), we get:OCF = (Sales – Costs)(1 – t C) + t C DepreciationOCF = ($2,650,000 – 840,000)(1 – 0.35) + 0.35($3,900,000/3)OCF = $1,631,50013.First we will calculate the annual depreciation of the new equipment. It will be:Annual depreciation = $560,000/5Annual depreciation = $112,000Now, we calculate the aftertax salvage value. The aftertax salvage value is the market price minus (or plus) the taxes on the sale of the equipment, so:Aftertax salvage value = MV + (BV – MV)t cVery often the book value of the equipment is zero as it is in this case. If the book value is zero, the equation for the aftertax salvage value becomes:Aftertax salvage value = MV + (0 – MV)t cAftertax salvage value = MV(1 – t c)We will use this equation to find the aftertax salvage value since we know the book value is zero.So, the aftertax salvage value is:Aftertax salvage value = $85,000(1 – 0.34)Aftertax salvage value = $56,100Using the tax shield approach, we find the OCF for the project is:OCF = $165,000(1 – 0.34) + 0.34($112,000)OCF = $146,980Now we can find the project NPV. Notice we include the NWC in the initial cash outlay. The recovery of the NWC occurs in Year 5, along with the aftertax salvage value.NPV = –$560,000 – 29,000 + $146,980(PVIFA10%,5) + [($56,100 + 29,000) / 1.105]NPV = $21,010.2414.First we will calculate the annual depreciation of the new equipment. It will be:Annual depreciation charge = $720,000/5Annual depreciation charge = $144,000The aftertax salvage value of the equipment is:Aftertax salvage value = $75,000(1 – 0.35)Aftertax salvage value = $48,750Using the tax shield approach, the OCF is:OCF = $260,000(1 – 0.35) + 0.35($144,000)OCF = $219,400Now we can find the project IRR. There is an unusual feature that is a part of this project.Accepting this project means that we will reduce NWC. This reduction in NWC is a cash inflow at Year 0. This reduction in NWC implies that when the project ends, we will have to increase NWC. So, at the end of the project, we will have a cash outflow to restore the NWC to its level before the project. We also must include the aftertax salvage value at the end of the project. The IRR of the project is:NPV = 0 = –$720,000 + 110,000 + $219,400(PVIFA IRR%,5) + [($48,750 – 110,000) / (1+IRR)5]IRR = 21.65%17.We will need the aftertax salvage value of the equipment to compute the EAC. Even though theequipment for each product has a different initial cost, both have the same salvage value. The aftertax salvage value for both is:Both cases: aftertax salvage value = $40,000(1 – 0.35) = $26,000To calculate the EAC, we first need the OCF and NPV of each option. The OCF and NPV for Techron I is:OCF = –$67,000(1 – 0.35) + 0.35($290,000/3) = –9,716.67NPV = –$290,000 – $9,716.67(PVIFA10%,3) + ($26,000/1.103) = –$294,629.73EAC = –$294,629.73 / (PVIFA10%,3) = –$118,474.97And the OCF and NPV for Techron II is:OCF = –$35,000(1 – 0.35) + 0.35($510,000/5) = $12,950NPV = –$510,000 + $12,950(PVIFA10%,5) + ($26,000/1.105) = –$444,765.36EAC = –$444,765.36 / (PVIFA10%,5) = –$117,327.98The two milling machines have unequal lives, so they can only be compared by expressing both on an equivalent annual basis, which is what the EAC method does. Thus, you prefer the Techron II because it has the lower (less negative) annual cost.18.To find the bid price, we need to calculate all other cash flows for the project, and then solve forthe bid price. The aftertax salvage value of the equipment is:Aftertax salvage value = $70,000(1 – 0.35) = $45,500Now we can solve for the necessary OCF that will give the project a zero NPV. The equation for the NPV of the project is:NPV = 0 = –$940,000 – 75,000 + OCF(PVIFA12%,5) + [($75,000 + 45,500) / 1.125]Solving for the OCF, we find the OCF that makes the project NPV equal to zero is:OCF = $946,625.06 / PVIFA12%,5 = $262,603.01The easiest way to calculate the bid price is the tax shield approach, so:OCF = $262,603.01 = [(P – v)Q – FC ](1 – t c) + t c D$262,603.01 = [(P – $9.25)(185,000) – $305,000 ](1 – 0.35) + 0.35($940,000/5)P = $12.54CH14 6、9、20、23、246. The pretax cost of debt is the YTM of the company’s bonds, so:P0 = $1,070 = $35(PVIFA R%,30) + $1,000(PVIF R%,30)R = 3.137%YTM = 2 × 3.137% = 6.27%And the aftertax cost of debt is:R D = .0627(1 – .35) = .0408 or 4.08%9. ing the equation to calculate the WACC, we find:WACC = .60(.14) + .05(.06) + .35(.08)(1 – .35) = .1052 or 10.52%b.Since interest is tax deductible and dividends are not, we must look at the after-tax cost ofdebt, which is:.08(1 – .35) = .0520 or 5.20%Hence, on an after-tax basis, debt is cheaper than the preferred stock.ing the debt-equity ratio to calculate the WACC, we find:WACC = (.90/1.90)(.048) + (1/1.90)(.13) = .0912 or 9.12%Since the project is riskier than the company, we need to adjust the project discount rate for the additional risk. Using the subjective risk factor given, we find:Project discount rate = 9.12% + 2.00% = 11.12%We would accept the project if the NPV is positive. The NPV is the PV of the cash outflows plus the PV of the cash inflows. Since we have the costs, we just need to find the PV of inflows. The cash inflows are a growing perpetuity. If you remember, the equation for the PV of a growing perpetuity is the same as the dividend growth equation, so:PV of future CF = $2,700,000/(.1112 – .04) = $37,943,787The project should only be undertaken if its cost is less than $37,943,787 since costs less than this amount will result in a positive NPV.23. ing the dividend discount model, the cost of equity is:R E = [(0.80)(1.05)/$61] + .05R E = .0638 or 6.38%ing the CAPM, the cost of equity is:R E = .055 + 1.50(.1200 – .0550)R E = .1525 or 15.25%c.When using the dividend growth model or the CAPM, you must remember that both areestimates for the cost of equity. Additionally, and perhaps more importantly, each methodof estimating the cost of equity depends upon different assumptions.Challenge24.We can use the debt-equity ratio to calculate the weights of equity and debt. The debt of thecompany has a weight for long-term debt and a weight for accounts payable. We can use the weight given for accounts payable to calculate the weight of accounts payable and the weight of long-term debt. The weight of each will be:Accounts payable weight = .20/1.20 = .17Long-term debt weight = 1/1.20 = .83Since the accounts payable has the same cost as the overall WACC, we can write the equation for the WACC as:WACC = (1/1.7)(.14) + (0.7/1.7)[(.20/1.2)WACC + (1/1.2)(.08)(1 – .35)]Solving for WACC, we find:WACC = .0824 + .4118[(.20/1.2)WACC + .0433]WACC = .0824 + (.0686)WACC + .0178(.9314)WACC = .1002WACC = .1076 or 10.76%We will use basically the same equation to calculate the weighted average flotation cost, except we will use the flotation cost for each form of financing. Doing so, we get:Flotation costs = (1/1.7)(.08) + (0.7/1.7)[(.20/1.2)(0) + (1/1.2)(.04)] = .0608 or 6.08%The total amount we need to raise to fund the new equipment will be:Amount raised cost = $45,000,000/(1 – .0608)Amount raised = $47,912,317Since the cash flows go to perpetuity, we can calculate the present value using the equation for the PV of a perpetuity. The NPV is:NPV = –$47,912,317 + ($6,200,000/.1076)NPV = $9,719,777CH16 1,4,12,14,171. a. A table outlining the income statement for the three possible states of the economy isshown below. The EPS is the net income divided by the 5,000 shares outstanding. The lastrow shows the percentage change in EPS the company will experience in a recession or anexpansion economy.Recession Normal ExpansionEBIT $14,000 $28,000 $36,400Interest 0 0 0NI $14,000 $28,000 $36,400EPS $ 2.80 $ 5.60 $ 7.28%∆EPS –50 –––+30b.If the company undergoes the proposed recapitalization, it will repurchase:Share price = Equity / Shares outstandingShare price = $250,000/5,000Share price = $50Shares repurchased = Debt issued / Share priceShares repurchased =$90,000/$50Shares repurchased = 1,800The interest payment each year under all three scenarios will be:Interest payment = $90,000(.07) = $6,300The last row shows the percentage change in EPS the company will experience in arecession or an expansion economy under the proposed recapitalization.Recession Normal ExpansionEBIT $14,000 $28,000 $36,400Interest 6,300 6,300 6,300NI $7,700 $21,700 $30,100EPS $2.41 $ 6.78 $9.41%∆EPS –64.52 –––+38.714. a.Under Plan I, the unlevered company, net income is the same as EBIT with no corporate tax.The EPS under this capitalization will be:EPS = $350,000/160,000 sharesEPS = $2.19Under Plan II, the levered company, EBIT will be reduced by the interest payment. The interest payment is the amount of debt times the interest rate, so:NI = $500,000 – .08($2,800,000)NI = $126,000And the EPS will be:EPS = $126,000/80,000 sharesEPS = $1.58Plan I has the higher EPS when EBIT is $350,000.b.Under Plan I, the net income is $500,000 and the EPS is:EPS = $500,000/160,000 sharesEPS = $3.13Under Plan II, the net income is:NI = $500,000 – .08($2,800,000)NI = $276,000And the EPS is:EPS = $276,000/80,000 sharesEPS = $3.45Plan II has the higher EPS when EBIT is $500,000.c.To find the breakeven EBIT for two different capital structures, we simply set the equationsfor EPS equal to each other and solve for EBIT. The breakeven EBIT is:EBIT/160,000 = [EBIT – .08($2,800,000)]/80,000EBIT = $448,00012. a.With the information provided, we can use the equation for calculating WACC to find thecost of equity. The equation for WACC is:WACC = (E/V)R E + (D/V)R D(1 – t C)The company has a debt-equity ratio of 1.5, which implies the weight of debt is 1.5/2.5, and the weight of equity is 1/2.5, soWACC = .10 = (1/2.5)R E + (1.5/2.5)(.07)(1 – .35)R E = .1818 or 18.18%b.To find the unlevered cost of equity we need to use M&M Proposition II with taxes, so:R E = R U + (R U– R D)(D/E)(1 – t C).1818 = R U + (R U– .07)(1.5)(1 – .35)R U = .1266 or 12.66%c.To find the cost of equity under different capital structures, we can again use M&MProposition II with taxes. With a debt-equity ratio of 2, the cost of equity is:R E = R U + (R U– R D)(D/E)(1 – t C)R E = .1266 + (.1266 – .07)(2)(1 – .35)R E = .2001 or 20.01%With a debt-equity ratio of 1.0, the cost of equity is:R E = .1266 + (.1266 – .07)(1)(1 – .35)R E = .1634 or 16.34%And with a debt-equity ratio of 0, the cost of equity is:R E = .1266 + (.1266 – .07)(0)(1 – .35)R E = R U = .1266 or 12.66%14. a.The value of the unlevered firm is:V U = EBIT(1 – t C)/R UV U = $92,000(1 – .35)/.15V U = $398,666.67b.The value of the levered firm is:V U = V U + t C DV U = $398,666.67 + .35($60,000)V U = $419,666.6717.With no debt, we are finding the value of an unlevered firm, so:V U = EBIT(1 – t C)/R UV U = $14,000(1 – .35)/.16V U = $56,875With debt, we simply need to use the equation for the value of a levered firm. With 50 percent debt, one-half of the firm value is debt, so the value of the levered firm is:V L = V U + t C(D/V)V UV L = $56,875 + .35(.50)($56,875)V L = $66,828.13And with 100 percent debt, the value of the firm is:V L = V U + t C(D/V)V UV L = $56,875 + .35(1.0)($56,875)V L = $76,781.25c.The net cash flows is the present value of the average daily collections times the daily interest rate, minus the transaction cost per day, so:Net cash flow per day = $1,276,275(.0002) – $0.50(385)Net cash flow per day = $62.76The net cash flow per check is the net cash flow per day divided by the number of checksreceived per day, or:Net cash flow per check = $62.76/385Net cash flow per check = $0.16Alternatively, we could find the net cash flow per check as the number of days the system reduces collection time times the average check amount times the daily interest rate, minusthe transaction cost per check. Doing so, we confirm our previous answer as:Net cash flow per check = 3($1,105)(.0002) – $0.50Net cash flow per check = $0.16 per checkThis makes the total costs:Total costs = $18,900,000 + 56,320,000 = $75,220,000The flotation costs as a percentage of the amount raised is the total cost divided by the amount raised, so:Flotation cost percentage = $75,220,000/$180,780,000 = .4161 or 41.61%8.The number of rights needed per new share is:Number of rights needed = 120,000 old shares/25,000 new shares = 4.8 rights per new share.Using P RO as the rights-on price, and P S as the subscription price, we can express the price per share of the stock ex-rights as:P X = [NP RO + P S]/(N + 1)a.P X = [4.8($94) + $94]/(4.80 + 1) = $94.00; No change.b. P X = [4.8($94) + $90]/(4.80 + 1) = $93.31; Price drops by $0.69 per share.。
ch07
2.
3.
4. 5.
Chapter 7-3
Learning Objectives
6. Compare the eliminating entries when the selling affiliate is a subsidiary (less than wholly owned) versus when the selling affiliate is the parent company. Compute the noncontrolling interest in consolidated net income when the selling affiliate is a subsidiary. Compute consolidated net income considering the effects of intercompany sales of depreciable assets. Describe the eliminating entry needed to adjust the consolidated financial statements when the purchasing affiliate sells a depreciable asset that was acquired from another affiliate.
1. Understand the financial reporting objectives in accounting for intercompany sales of nondepreciable assets on the consolidated financial statements. Explain the additional financial reporting objectives in accounting for intercompany sales of depreciable assets on the consolidated financial statements. Explain when gains or losses on intercompany sales of depreciable assets should be recognized on a consolidated basis. Explain the term "realized through usage." Describe the differences between upstream and downstream sales in determining consolidated net income and the controlling and noncontrolling interests in consolidated income.
公司理财第五版高等院校双语教材·金融系列-chapter-13英文课件
公司理财第五版高等院校双语教材·金融系列-chapter-13英 文
19
14
Content
• Creating value with financing decisions
• Common stock
• Preferred stock
• Corporate debt
• Convertible securities
• Patterns of corporate financing
Retained earnings: 留存收益 Board of directors: 董事会 Outside directors: 外部董事 Majority voting: 多数表决投票制度 Cumulative voting: 累积投票权 Proxy contest: 代理权争夺
公司理财第五版高等院校双语教材·金融系列-chapter-13英 文
公司理财第五版高等院校双语教材·金融系列-chapter-13英 文
5
Content
• Creating value with financing decisions
• Common stock
• Preferred stock
• Corporate debt
• Convertible securities
18
Lenders are not regarded as owners of the firm, they don’t normally have any voting power. Also, the company’s payments of interest are regarded as a cost and are therefore deducted from taxable income. Thus interest is paid out of beforetax income, whereas dividends on common and preferred stock are paid out of after-tax income.
公司理财(罗斯)第2章(英文)
2-2
Sources of Information
Annual reports Wall Street Journal Internet
2.1 The Balance Sheet 2.2 The Income Statement 2.3 Net Working Capital 2.4 Financial Cash Flow 2.5 The Statement of Cash Flows 2.6 Financial Statement Analysis 2.7 Summary and Conclusions
McGraw-Hill/Irwin Corporate Finance, 7/e 2005 The McGraw-Hill Companies, Inc. All Rights Reserved.
2-6
Debt versus Equity
Generally, when a firm borrows it gives the bondholders first claim on the firm’s cash flow. Thus shareholder’s equity is the residual difference between assets and liabilities.
Total assets
McGraw-Hill/Irwin Corporate Finance, 7/e
$1,879
$1,742
2005 The McGraw-Hill Companies, Inc. All Rights Reserved.
F4-chapter 17
ACCAInstructor: GabrielleChapter 17Other Company Officer•Discuss the appointment procedure relating to, and the duties and powers of, a company secretary•Discuss the appointment procedure relating to, and the duties and rights of a company auditor, and their subsequent removal or resignation.Chapter 17 Other company officersChapter GuideSlide 41Every public company must have a company secretary , who is one of the officers of a company and may be a director. Private companies are not required to have a secretary.Slide 42Public companies must still appoint a company secretary, who must be qualified by virtue of being any of the following:1.Qualified accountant: the ACCA, CIMA, ICAEW, ICAS, ICAI or CIPFA2.A solicitor, barrister or advocate3.Qualified chartered company secretary4.Someone who was a company secretary on the 22nd December 19805.Someone who has been a company secretary of a plc for 3 of the last 5 years6.Anyone else deem fit to hold the post by virtue of any other position heldA sole director of a private company cannot also be the company secretary,Slide 43Common duties undertaken by secretaries:•Maintenance of statutory registers •Ensure all annual returns to the Registrar submitted on time •Organise and attend board and general meetings •Ensure statutory compliance •Sign such documents as required by the CA 2006•As discussed in Chapter 9 the company secretary’ has the power to bind the company in all transactions of an administrative nature via ‘actual implied authority’. Chapter 17 Other company officerspany secretary•The first auditors may be appointed by thedirectors , to hold office until the first general meeting at which their appointment is considered .•Subsequent auditors may not take office until the previous auditors has ceased to hold office . G - By members - By directors - By Secretary of StateChapter 17 Other company officers2. Auditor2.1 Appointment of auditor•Certain companies are exempt form audit provided the following conditions are fulfilled :•(a ) Annual turnover must be £6.5 million or less•(b ) The balance sheet total must be £3.26 million or less•(c ) The average number of employees must be 50 or fewer •(d ) Dormant companies•(e )The exemptions do not apply to public companies , banking or insurance companies or those subject to a statute -based regulatory regime .•(f ) The company is a non -commercial , non -profit making public sector body which is subject to audit by a public sector auditor .•(g ) Members holding 10% or more of the capital of any company can veto the exemption .Chapter 17 Other company officers2. Auditor2.2 Exemption from auditSlide 46a)To make a report to the company’s members as to whether or not the accounts have been properly prepared, and whether the directors’ report is consistent with the accounts.b)To give an opinion on the truth and fairness of the accounts.c)To make the necessary investigations in order to be able to deliver their opinions .d)To report on the consistency of any summary financial statements circularised by the board .Chapter 17 Other company officers2. Auditor2.3 Duties of an auditorSlide 47a)The right to access at all times, the company’sbooks and accountsb)To compel the officers to provide suchinformation and explanations as they consider necessaryc)To receive copies of all proposed resolutions d)To attend general meetingse)To resign at any time2.4 Powers of an auditor2.5 Resignation of auditors’ appointment•Auditors may resign from their appointment •Auditors may be removed from office •Auditors do not have to be reappointedSlide 48SectionTopic Summary 1Companysecretary The company secretary of a plc must be qualified. The duties of the secretary include registers, returns, meetings,compliance and document signing. They have actual implied authority to bind the company.2AuditorsCompanies must appoint an auditor where they do not qualify for exemptions. The auditors have duties to report, and give an opinion on a number of aspects of the accounts. Theyhave the right to inspect the books and questionmanagement as they feel necessary.Slide 49Chapter 17 Other company officersChapter summary。
中级财务会计英文版
Prepared by Coby Harmon, University of California, Santa Barbara
Learning Objectives
1. Understand the purposes of the balance sheet.
2. Define the elements of a balance sheet.
statement. 11. Compute income from continuing operations. 12. Compute results from discontinued operations. 13. Identify extraordinary items. 14. Prepare a statement of retained earnings. 15. Report comprehensive income.
Basic Accounting Identity
A = L + OE
Chapter 3-5
Balance Sheet
Basic Definitions - SFAC No. 6
Assets Probable future economic benefits
obtained or controlled by a particular entity as a result of past
Investments and funds
Intangibles
Noncurrent Assets
Property, Plant, & Equipment
Chapter 3-10
Deferred Charges
Balance Sheet Format
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Impairment rules are generally going to generate soft numbers (low verifiability)
Special Purpose Entity (SPE)
A joint venture between a sponsoring company and a group of outside investors SPE is limited by its charter to certain permitted activities. Hence, the term “special purpose” comes from the limited scope of the SPE. Most common uses an SPE are
Pro Rata Consolidation ( 4th method)
Consolidation of assets and liabilities occurs only to the extent of the stock acquired by the parent An arbitrary distinction at the 50 % point where control is assumed does not exist
20% to 50%
>20%
Relevant Circumstances
The relevant circumstances that justify differential accounting for intercorporate equity investments depend on the level of influence held by the investor
Consolidation
A technique in which two or more entities are reported as if they are one common accounting entity Also called a businesstion Terms
Reporting on Intercorporate Equity Investments
1. Consolidated reporting as if the two separate legal entities are one accounting entity using either the purchase or pooling method (as appropriate) 2. Nonconsolidation using the equity method of accounting 3. Nonconsolidation using the fair (market) value approaches
Fair Value Method
Market value applies where no significant influence exists and market values are readily determinable for investments of approximately 20 percent or less Increases or decreases in market value may or may not go through income depending upon management’s intention to sell them in the near term
financing arrangements, leasing arrangements, and sales/transfers of illiquid or poor performing assets
Special Purpose Entity (SPE)
Hundreds of respected U.S. companies have an estimated $2 trillion of debt hidden in off-balance sheet subsidiaries such as SPEs. In a recent survey, 29 percent of the 141 CFOs responding indicated that some of their company’s debt was not reflected on the balance sheet. 3% reported that more than 50% of the corporate debt was off balance sheet. 42% of the companies that reported off balance sheet debt indicated that they guarantee or otherwise protect the investment of third parties in the SPEs, precisely the practice that led to Enron’s downfall and a practice that should lead to consolidation even though these companies report not consolidating the SPEs in question.
SFAS No. 94
Asserts, rather than demonstrates, that consolidated reporting (and the fictional accounting entity thus created) is more relevant to investors than are separate entity statements in which the reporting entity is the legal entity
SFAS No. 142
Goodwill is converted into an intangible asset
with an indefinite life but it is subject to write-off as an expense if it becomes “impaired.” Tests of impairment must be made on an annual basis.
Finite Uniformity for Intercorporate Investments
Ownership of Voting Stock >50%
Accounting Method
Consolidate per ARB 51 (SFAS No. 94) SFAS No. 141 and 142 Equity Accounting per APB Opinion No. 18 Fair (market) value for both trading securities and available-for-sale securities...
Combined enterprise Constituent companies Combinor Combinee
Consolidation
Central accounting issue is the valuation of the assets and liabilities of the separate entities being combined for reporting purposes FASB (1976) outlined three possible methods of accounting
Chapter 17: Intercorporate Equity Investments
Relevant circumstances Consolidation
Pooling of interests Purchase method New entity approach Pro rata
Equity method Fair value method Special Purpose Entity
New Entity Approach
Regard the combined enterprise as an entirely new entity Results in the use of current values for the assets and liabilities of all the separate entities as of the date the combination is consummated
Impairment test after acquisition compares
(1) the fair market value of the acquisition against (2) the historical cost of the net assets plus goodwill at an annual measurement date after acquisition. If (1) is greater than (2), no impairment has occurred. However, if (2) is greater than (1), goodwill is impaired and the impaired amount is written off as a loss appearing above income from continuing operations.
Three Levels of Control
Majority owned company: owner has effective control Majority owned company: control is only temporary or the majority owner does not have effective control Less-than-majority-owned companies: relevant circumstance is whether the investor can exercise significant influence over operating and financial policies